3732946560 has 576 divisors, whose sum is σ = 15418091520. Its totient is φ = 846526464.

The previous prime is 3732946541. The next prime is 3732946571. The reversal of 3732946560 is 656492373.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 71 ways as a sum of consecutive naturals, for example, 29393217 + ... + 29393343.

It is an arithmetic number, because the mean of its divisors is an integer number (26767520).

Almost surely, 2^3732946560 is an apocalyptic number.

3732946560 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 3732946560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7709045760).

3732946560 is an abundant number, since it is smaller than the sum of its proper divisors (11685144960).

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

3732946560 is an frugal number, since it uses more digits than its factorization.

3732946560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The square root of 3732946560 is about 61097.8441518193. The cubic root of 3732946560 is about 1551.2576071708.

The spelling of 3732946560 in words is "three billion, seven hundred thirty-two million, nine hundred forty-six thousand, five hundred sixty".