3696062400 has 630 divisors, whose sum is σ = 14519970960. Its totient is φ = 921922560.

The previous prime is 3696062393. The next prime is 3696062413. The reversal of 3696062400 is 42606963.

3696062400 is a `hidden beast` number, since 3 + 6 + 9 + 606 + 2 + 40 + 0 = 666.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 46785561 + ... + 46785639.

Almost surely, 2^3696062400 is an apocalyptic number.

3696062400 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 3696062400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7259985480).

3696062400 is an abundant number, since it is smaller than the sum of its proper divisors (10823908560).

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

3696062400 is a wasteful number, since it uses less digits than its factorization.

3696062400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 3696062400 is about 60795.2498144386. The cubic root of 3696062400 is about 1546.1315115783.

The spelling of 3696062400 in words is "three billion, six hundred ninety-six million, sixty-two thousand, four hundred".