3644240940 has 72 divisors (see below), whose sum is σ = 11161576608. Its totient is φ = 962357760.

The previous prime is 3644240917. The next prime is 3644240947. The reversal of 3644240940 is 490424463.

3644240940 is a `hidden beast` number, since 3 + 644 + 2 + 4 + 0 + 9 + 4 + 0 = 666.

3644240940 is digitally balanced in base 2 and base 4, because in such bases 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 3644240895 and 3644240904.

It is not an unprimeable number, because it can be changed into a prime (3644240947) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79741 + ... + 116820.

Almost surely, 2^3644240940 is an apocalyptic number.

3644240940 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3644240940 is an abundant number, since it is smaller than the sum of its proper divisors (7517335668).

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

3644240940 is a wasteful number, since it uses less digits than its factorization.

3644240940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196679 (or 196674 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 3644240940 is about 60367.5487327422. The cubic root of 3644240940 is about 1538.8715154286.

The spelling of 3644240940 in words is "three billion, six hundred forty-four million, two hundred forty thousand, nine hundred forty".