3642693120 has 400 divisors, whose sum is σ = 14241976848. Its totient is φ = 882524160.

The previous prime is 3642693107. The next prime is 3642693143. The reversal of 3642693120 is 213962463.

3642693120 is a `hidden beast` number, since 3 + 642 + 6 + 9 + 3 + 1 + 2 + 0 = 666.

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 (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2280162 + ... + 2281758.

Almost surely, 2^3642693120 is an apocalyptic number.

3642693120 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 3642693120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7120988424).

3642693120 is an abundant number, since it is smaller than the sum of its proper divisors (10599283728).

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

3642693120 is a wasteful number, since it uses less digits than its factorization.

3642693120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1643 (or 1618 counting only the distinct ones).

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

The square root of 3642693120 is about 60354.7274039076. The cubic root of 3642693120 is about 1538.6536160591.

It can be divided in two parts, 36 and 42693120, that added together give a square (42693156 = 6534²).

The spelling of 3642693120 in words is "three billion, six hundred forty-two million, six hundred ninety-three thousand, one hundred twenty".