3972408540 has 48 divisors (see below), whose sum is σ = 11197418400. Its totient is φ = 1052197120.

The previous prime is 3972408529. The next prime is 3972408553. The reversal of 3972408540 is 458042793.

3972408540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3972408492 and 3972408501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 213231 + ... + 231110.

It is an arithmetic number, because the mean of its divisors is an integer number (233279550).

Almost surely, 2^3972408540 is an apocalyptic number.

3972408540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3972408540 is an abundant number, since it is smaller than the sum of its proper divisors (7225009860).

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

3972408540 is a wasteful number, since it uses less digits than its factorization.

3972408540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444502 (or 444500 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 3972408540 is about 63027.0460992739. The cubic root of 3972408540 is about 1583.7427347847.

The spelling of 3972408540 in words is "three billion, nine hundred seventy-two million, four hundred eight thousand, five hundred forty".