3640260960 has 576 divisors, whose sum is σ = 15357988800. Its totient is φ = 802013184.

The previous prime is 3640260937. The next prime is 3640261013. The reversal of 3640260960 is 690620463.

3640260960 is a `hidden beast` number, since 3 + 6 + 40 + 2 + 609 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6138424 + ... + 6139016.

It is an arithmetic number, because the mean of its divisors is an integer number (26663175).

Almost surely, 2^3640260960 is an apocalyptic number.

3640260960 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 3640260960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7678994400).

3640260960 is an abundant number, since it is smaller than the sum of its proper divisors (11717727840).

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

3640260960 is a wasteful number, since it uses less digits than its factorization.

3640260960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 3640260960 is about 60334.5751621738. The cubic root of 3640260960 is about 1538.3110961301.

The spelling of 3640260960 in words is "three billion, six hundred forty million, two hundred sixty thousand, nine hundred sixty".