3540638880 has 144 divisors (see below), whose sum is σ = 12160164744. Its totient is φ = 938096640.

The previous prime is 3540638839. The next prime is 3540638897. The reversal of 3540638880 is 888360453.

3540638880 is a `hidden beast` number, since 3 + 5 + 4 + 0 + 638 + 8 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3363536016 + 177102864 = 57996^2 + 13308^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×3540638880² = 25072247357135308800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 218250 + ... + 233910.

Almost surely, 2^3540638880 is an apocalyptic number.

3540638880 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 3540638880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6080082372).

3540638880 is an abundant number, since it is smaller than the sum of its proper divisors (8619525864).

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

3540638880 is a wasteful number, since it uses less digits than its factorization.

3540638880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15839 (or 15828 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 3540638880 is about 59503.2678094237. The cubic root of 3540638880 is about 1524.1482485417.

The spelling of 3540638880 in words is "three billion, five hundred forty million, six hundred thirty-eight thousand, eight hundred eighty".