3496657920 has 352 divisors, whose sum is σ = 13540462848. Its totient is φ = 751828992.

The previous prime is 3496657909. The next prime is 3496657933. The reversal of 3496657920 is 297566943.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1826884 + ... + 1828796.

It is an arithmetic number, because the mean of its divisors is an integer number (38467224).

Almost surely, 2^3496657920 is an apocalyptic number.

3496657920 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 3496657920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6770231424).

3496657920 is an abundant number, since it is smaller than the sum of its proper divisors (10043804928).

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

3496657920 is a wasteful number, since it uses less digits than its factorization.

3496657920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1965 (or 1947 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 51.

The square root of 3496657920 is about 59132.5453536375. The cubic root of 3496657920 is about 1517.8110690239.

The spelling of 3496657920 in words is "three billion, four hundred ninety-six million, six hundred fifty-seven thousand, nine hundred twenty".