3480938496 has 576 divisors, whose sum is σ = 13043721600. Its totient is φ = 895352832.

The previous prime is 3480938449. The next prime is 3480938533. The reversal of 3480938496 is 6948390843.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

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 47 ways as a sum of consecutive naturals, for example, 151345141 + ... + 151345163.

It is an arithmetic number, because the mean of its divisors is an integer number (22645350).

Almost surely, 2^3480938496 is an apocalyptic number.

3480938496 is a gapful number since it is divisible by the number (36) 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 3480938496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6521860800).

3480938496 is an abundant number, since it is smaller than the sum of its proper divisors (9562783104).

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

3480938496 is a wasteful number, since it uses less digits than its factorization.

3480938496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The square root of 3480938496 is about 58999.4787773587. The cubic root of 3480938496 is about 1515.5331835694.

The spelling of 3480938496 in words is "three billion, four hundred eighty million, nine hundred thirty-eight thousand, four hundred ninety-six".