3495465600 has 384 divisors, whose sum is σ = 12749184000. Its totient is φ = 834662400.

The previous prime is 3495465563. The next prime is 3495465601. The reversal of 3495465600 is 65645943.

3495465600 = 215² + 216² + ... + 2189².

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3495465601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8342191 + ... + 8342609.

It is an arithmetic number, because the mean of its divisors is an integer number (33201000).

Almost surely, 2^3495465600 is an apocalyptic number.

3495465600 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 3495465600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6374592000).

3495465600 is an abundant number, since it is smaller than the sum of its proper divisors (9253718400).

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

3495465600 is a wasteful number, since it uses less digits than its factorization.

3495465600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 42.

The square root of 3495465600 is about 59122.4627362562. The cubic root of 3495465600 is about 1517.6385307248.

The spelling of 3495465600 in words is "three billion, four hundred ninety-five million, four hundred sixty-five thousand, six hundred".