3890557440 has 1280 divisors, whose sum is σ = 18667376640. Its totient is φ = 743178240.

The previous prime is 3890557403. The next prime is 3890557459. The reversal of 3890557440 is 447550983.

3890557440 is a `hidden beast` number, since 3 + 8 + 90 + 557 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 90478059 + ... + 90478101.

It is an arithmetic number, because the mean of its divisors is an integer number (14583888).

Almost surely, 2^3890557440 is an apocalyptic number.

3890557440 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 3890557440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9333688320).

3890557440 is an abundant number, since it is smaller than the sum of its proper divisors (14776819200).

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

3890557440 is a wasteful number, since it uses less digits than its factorization.

3890557440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 3890557440 is about 62374.3331828085. Note that the first 3 decimals coincide. The cubic root of 3890557440 is about 1572.7895340483.

It can be divided in two parts, 389055 and 7440, that added together give a triangular number (396495 = T₈₉₀).

The spelling of 3890557440 in words is "three billion, eight hundred ninety million, five hundred fifty-seven thousand, four hundred forty".