3840087552 has 320 divisors, whose sum is σ = 12407205888. Its totient is φ = 1032192000.

The previous prime is 3840087533. The next prime is 3840087553. The reversal of 3840087552 is 2557800483.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3840087553) 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, 13665652 + ... + 13665932.

Almost surely, 2^3840087552 is an apocalyptic number.

3840087552 is a gapful number since it is divisible by the number (32) 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 3840087552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6203602944).

3840087552 is an abundant number, since it is smaller than the sum of its proper divisors (8567118336).

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

3840087552 is a wasteful number, since it uses less digits than its factorization.

3840087552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 42.

The square root of 3840087552 is about 61968.4399674544. The cubic root of 3840087552 is about 1565.9589575747.

The spelling of 3840087552 in words is "three billion, eight hundred forty million, eighty-seven thousand, five hundred fifty-two".