3695415446400 has 768 divisors, whose sum is σ = 13510455989760. Its totient is φ = 883039928320.

The previous prime is 3695415446351. The next prime is 3695415446407. The reversal of 3695415446400 is 46445145963.

It is a super-2 number, since 2×3695415446400² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3695415446407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 852065032 + ... + 852069368.

It is an arithmetic number, because the mean of its divisors is an integer number (17591739570).

Almost surely, 2^{3695415446400} is an apocalyptic number.

3695415446400 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 3695415446400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6755227994880).

3695415446400 is an abundant number, since it is smaller than the sum of its proper divisors (9815040543360).

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

3695415446400 is a wasteful number, since it uses less digits than its factorization.

3695415446400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4631 (or 4614 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 51.

The spelling of 3695415446400 in words is "three trillion, six hundred ninety-five billion, four hundred fifteen million, four hundred forty-six thousand, four hundred".