3857580480 has 448 divisors, whose sum is σ = 13928140800. Its totient is φ = 903352320.

The previous prime is 3857580473. The next prime is 3857580497. The reversal of 3857580480 is 840857583.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65382691 + ... + 65382749.

It is an arithmetic number, because the mean of its divisors is an integer number (31089600).

Almost surely, 2^3857580480 is an apocalyptic number.

3857580480 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 3857580480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6964070400).

3857580480 is an abundant number, since it is smaller than the sum of its proper divisors (10070560320).

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

3857580480 is a wasteful number, since it uses less digits than its factorization.

3857580480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 48.

The square root of 3857580480 is about 62109.4234396038. The cubic root of 3857580480 is about 1568.3331844375. Note that the first 3 decimals are identical.

The spelling of 3857580480 in words is "three billion, eight hundred fifty-seven million, five hundred eighty thousand, four hundred eighty".