3498976051200 has 1920 divisors, whose sum is σ = 15355011978240. Its totient is φ = 773967052800.

The previous prime is 3498976051199. The next prime is 3498976051201. The reversal of 3498976051200 is 21506798943.

3498976051200 is a `hidden beast` number, since 3 + 4 + 9 + 8 + 9 + 7 + 605 + 1 + 20 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3498976051199) and next prime (3498976051201).

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×3498976051200² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3498976051201) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 112870195185 + ... + 112870195215.

It is an arithmetic number, because the mean of its divisors is an integer number (7997402072).

It is a 1-persistent number, because it is pandigital, but 2⋅3498976051200 = 6997952102400 is not.

Almost surely, 2^{3498976051200} is an apocalyptic number.

3498976051200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3498976051200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7677505989120).

3498976051200 is an abundant number, since it is smaller than the sum of its proper divisors (11856035927040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3498976051200 is an frugal number, since it uses more digits than its factorization.

3498976051200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 3498976051200 in words is "three trillion, four hundred ninety-eight billion, nine hundred seventy-six million, fifty-one thousand, two hundred".