3857552640 has 432 divisors, whose sum is σ = 14377823040. Its totient is φ = 979292160.

The previous prime is 3857552639. The next prime is 3857552641. The reversal of 3857552640 is 462557583.

3857552640 is a `hidden beast` number, since 3 + 8 + 57 + 552 + 6 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (3857552639) and next prime (3857552641).

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3857552641) 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, 18282135 + ... + 18282345.

Almost surely, 2^3857552640 is an apocalyptic number.

3857552640 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 3857552640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7188911520).

3857552640 is an abundant number, since it is smaller than the sum of its proper divisors (10520270400).

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

3857552640 is a wasteful number, since it uses less digits than its factorization.

3857552640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The square root of 3857552640 is about 62109.1993186195. The cubic root of 3857552640 is about 1568.3294115630.

The spelling of 3857552640 in words is "three billion, eight hundred fifty-seven million, five hundred fifty-two thousand, six hundred forty".