3498207765120 has 512 divisors, whose sum is σ = 13158277113600. Its totient is φ = 875304714240.

The previous prime is 3498207765083. The next prime is 3498207765139. The reversal of 3498207765120 is 215677028943.

It is a happy number.

3498207765120 is a `hidden beast` number, since 3 + 49 + 82 + 0 + 7 + 7 + 6 + 512 + 0 = 666.

3498207765120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3498207765120² (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 an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 97216572 + ... + 97252548.

It is a 1-persistent number, because it is pandigital, but 2⋅3498207765120 = 6996415530240 is not.

Almost surely, 2^{3498207765120} is an apocalyptic number.

3498207765120 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 3498207765120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6579138556800).

3498207765120 is an abundant number, since it is smaller than the sum of its proper divisors (9660069348480).

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

3498207765120 is a wasteful number, since it uses less digits than its factorization.

3498207765120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36353 (or 36335 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 3498207765120 in words is "three trillion, four hundred ninety-eight billion, two hundred seven million, seven hundred sixty-five thousand, one hundred twenty".