3772432320 has 224 divisors, whose sum is σ = 12311481600. Its totient is φ = 978345984.

The previous prime is 3772432303. The next prime is 3772432337. The reversal of 3772432320 is 232342773.

It is an interprime number because it is at equal distance from previous prime (3772432303) and next prime (3772432337).

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, 5724151 + ... + 5724809.

Almost surely, 2^3772432320 is an apocalyptic number.

3772432320 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 3772432320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6155740800).

3772432320 is an abundant number, since it is smaller than the sum of its proper divisors (8539049280).

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

3772432320 is a wasteful number, since it uses less digits than its factorization.

3772432320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 33.

The square root of 3772432320 is about 61420.1295993423. The cubic root of 3772432320 is about 1556.7079822395.

The spelling of 3772432320 in words is "three billion, seven hundred seventy-two million, four hundred thirty-two thousand, three hundred twenty".