3696948432 has 160 divisors (see below), whose sum is σ = 10993224960. Its totient is φ = 1188794880.

The previous prime is 3696948413. The next prime is 3696948457. The reversal of 3696948432 is 2348496963.

3696948432 is a `hidden beast` number, since 36 + 96 + 94 + 8 + 432 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

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 31 ways as a sum of consecutive naturals, for example, 1395333 + ... + 1397979.

It is an arithmetic number, because the mean of its divisors is an integer number (68707656).

Almost surely, 2^3696948432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3696948432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5496612480).

3696948432 is an abundant number, since it is smaller than the sum of its proper divisors (7296276528).

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

3696948432 is a wasteful number, since it uses less digits than its factorization.

3696948432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2778 (or 2766 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 54.

The square root of 3696948432 is about 60802.5363944630. The cubic root of 3696948432 is about 1546.2550495848.

The spelling of 3696948432 in words is "three billion, six hundred ninety-six million, nine hundred forty-eight thousand, four hundred thirty-two".