3627662940 has 144 divisors (see below), whose sum is σ = 12052666080. Its totient is φ = 875888640.

The previous prime is 3627662893. The next prime is 3627662953. The reversal of 3627662940 is 492667263.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 505296 + ... + 512424.

It is an arithmetic number, because the mean of its divisors is an integer number (83699070).

Almost surely, 2^3627662940 is an apocalyptic number.

3627662940 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 3627662940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6026333040).

3627662940 is an abundant number, since it is smaller than the sum of its proper divisors (8425003140).

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

3627662940 is a wasteful number, since it uses less digits than its factorization.

3627662940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7412 (or 7407 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The square root of 3627662940 is about 60230.0833471115. The cubic root of 3627662940 is about 1536.5344768807.

The spelling of 3627662940 in words is "three billion, six hundred twenty-seven million, six hundred sixty-two thousand, nine hundred forty".