3732546960 has 320 divisors, whose sum is σ = 13680076800. Its totient is φ = 932746752.

The previous prime is 3732546949. The next prime is 3732546967. The reversal of 3732546960 is 696452373.

3732546960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (3732546967) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4226679 + ... + 4227561.

It is an arithmetic number, because the mean of its divisors is an integer number (42750240).

Almost surely, 2^3732546960 is an apocalyptic number.

3732546960 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 3732546960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6840038400).

3732546960 is an abundant number, since it is smaller than the sum of its proper divisors (9947529840).

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

3732546960 is a wasteful number, since it uses less digits than its factorization.

3732546960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1027 (or 1015 counting only the distinct ones).

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

The square root of 3732546960 is about 61094.5738998154. The cubic root of 3732546960 is about 1551.2022528057.

The spelling of 3732546960 in words is "three billion, seven hundred thirty-two million, five hundred forty-six thousand, nine hundred sixty".