3972464640 has 272 divisors, whose sum is σ = 14155668000. Its totient is φ = 1056964608.

The previous prime is 3972464627. The next prime is 3972464641. The reversal of 3972464640 is 464642793.

It is a happy number.

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

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3972464641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8847136 + ... + 8847584.

Almost surely, 2^3972464640 is an apocalyptic number.

3972464640 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 3972464640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7077834000).

3972464640 is an abundant number, since it is smaller than the sum of its proper divisors (10183203360).

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

3972464640 is an frugal number, since it uses more digits than its factorization.

3972464640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The square root of 3972464640 is about 63027.4911447378. The cubic root of 3972464640 is about 1583.7501901734.

The spelling of 3972464640 in words is "three billion, nine hundred seventy-two million, four hundred sixty-four thousand, six hundred forty".