3972540 has 96 divisors (see below), whose sum is σ = 13095936. Its totient is φ = 887040.

The previous prime is 3972533. The next prime is 3972541. The reversal of 3972540 is 452793.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3972498 and 3972507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3972541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8349 + ... + 8811.

It is an arithmetic number, because the mean of its divisors is an integer number (136416).

Almost surely, 2^3972540 is an apocalyptic number.

3972540 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 3972540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6547968).

3972540 is an abundant number, since it is smaller than the sum of its proper divisors (9123396).

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

3972540 is a wasteful number, since it uses less digits than its factorization.

3972540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 3972540 is about 1993.1231773275. The cubic root of 3972540 is about 158.3760205002.

The spelling of 3972540 in words is "three million, nine hundred seventy-two thousand, five hundred forty".