3972187440 has 240 divisors, whose sum is σ = 14542006752. Its totient is φ = 965799936.

The previous prime is 3972187399. The next prime is 3972187441. The reversal of 3972187440 is 447812793.

3972187440 is a `hidden beast` number, since 397 + 218 + 7 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3972187441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 774324 + ... + 779436.

Almost surely, 2^3972187440 is an apocalyptic number.

3972187440 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 3972187440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7271003376).

3972187440 is an abundant number, since it is smaller than the sum of its proper divisors (10569819312).

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

3972187440 is a wasteful number, since it uses less digits than its factorization.

3972187440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5228 (or 5219 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 3972187440 is about 63025.2920659635. The cubic root of 3972187440 is about 1583.7133510987.

The spelling of 3972187440 in words is "three billion, nine hundred seventy-two million, one hundred eighty-seven thousand, four hundred forty".