3972490040 has 32 divisors (see below), whose sum is σ = 9226431360. Its totient is φ = 1537737600.

The previous prime is 3972490021. The next prime is 3972490051. The reversal of 3972490040 is 400942793.

It is a junction number, because it is equal to n+sod(n) for n = 3972489976 and 3972490003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1600571 + ... + 1603050.

It is an arithmetic number, because the mean of its divisors is an integer number (288325980).

Almost surely, 2^3972490040 is an apocalyptic number.

It is an amenable number.

3972490040 is an abundant number, since it is smaller than the sum of its proper divisors (5253941320).

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

3972490040 is a wasteful number, since it uses less digits than its factorization.

3972490040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3203663 (or 3203659 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 38.

The square root of 3972490040 is about 63027.6926437895. The cubic root of 3972490040 is about 1583.7535656739.

It can be divided in two parts, 397 and 2490040, that multiplied together give a triangular number (988545880 = T₄₄₄₆₄).

The spelling of 3972490040 in words is "three billion, nine hundred seventy-two million, four hundred ninety thousand, forty".