3885373440 has 768 divisors, whose sum is σ = 15850598400. Its totient is φ = 895352832.

The previous prime is 3885373421. The next prime is 3885373493. The reversal of 3885373440 is 443735883.

3885373440 is a `hidden beast` number, since 3 + 88 + 537 + 34 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×3885373440² = 30192253536514867200, which contains 22 as substring.

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

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, 82667497 + ... + 82667543.

It is an arithmetic number, because the mean of its divisors is an integer number (20638800).

Almost surely, 2^3885373440 is an apocalyptic number.

3885373440 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 3885373440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7925299200).

3885373440 is an abundant number, since it is smaller than the sum of its proper divisors (11965224960).

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

3885373440 is a wasteful number, since it uses less digits than its factorization.

3885373440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 3885373440 is about 62332.7637763640. The cubic root of 3885373440 is about 1572.0906654776.

The spelling of 3885373440 in words is "three billion, eight hundred eighty-five million, three hundred seventy-three thousand, four hundred forty".