3835379520 has 1008 divisors, whose sum is σ = 17391449088. Its totient is φ = 756449280.

The previous prime is 3835379497. The next prime is 3835379567. The reversal of 3835379520 is 259735383.

3835379520 is a `hidden beast` number, since 3 + 8 + 3 + 53 + 79 + 520 = 666.

3835379520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1008).

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 143 ways as a sum of consecutive naturals, for example, 123721905 + ... + 123721935.

Almost surely, 2^3835379520 is an apocalyptic number.

3835379520 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 3835379520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8695724544).

3835379520 is an abundant number, since it is smaller than the sum of its proper divisors (13556069568).

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

3835379520 is a wasteful number, since it uses less digits than its factorization.

3835379520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The square root of 3835379520 is about 61930.4409801836. The cubic root of 3835379520 is about 1565.3187291233.

The spelling of 3835379520 in words is "three billion, eight hundred thirty-five million, three hundred seventy-nine thousand, five hundred twenty".