3495460800 has 504 divisors, whose sum is σ = 12910840320. Its totient is φ = 826675200.

The previous prime is 3495460789. The next prime is 3495460877. The reversal of 3495460800 is 80645943.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25147131 + ... + 25147269.

Almost surely, 2^3495460800 is an apocalyptic number.

3495460800 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 3495460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6455420160).

3495460800 is an abundant number, since it is smaller than the sum of its proper divisors (9415379520).

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

3495460800 is a wasteful number, since it uses less digits than its factorization.

3495460800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 3495460800 is about 59122.4221425340. The cubic root of 3495460800 is about 1517.6378360468.

The spelling of 3495460800 in words is "three billion, four hundred ninety-five million, four hundred sixty thousand, eight hundred".