3732834560 has 288 divisors, whose sum is σ = 11180843520. Its totient is φ = 1162543104.

The previous prime is 3732834559. The next prime is 3732834587. The reversal of 3732834560 is 654382373.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8502821 + ... + 8503259.

Almost surely, 2^3732834560 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 3732834560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5590421760).

3732834560 is an abundant number, since it is smaller than the sum of its proper divisors (7448008960).

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

3732834560 is a wasteful number, since it uses less digits than its factorization.

3732834560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 41.

The square root of 3732834560 is about 61096.9275823261. The cubic root of 3732834560 is about 1551.2420928323.

The spelling of 3732834560 in words is "three billion, seven hundred thirty-two million, eight hundred thirty-four thousand, five hundred sixty".