3835234800 has 90 divisors (see below), whose sum is σ = 13309342592. Its totient is φ = 1022728320.

The previous prime is 3835234789. The next prime is 3835234807. The reversal of 3835234800 is 84325383.

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×3835234800² = 29418051942262080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3835234807) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 529072 + ... + 536271.

Almost surely, 2^3835234800 is an apocalyptic number.

3835234800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3835234800 is an abundant number, since it is smaller than the sum of its proper divisors (9474107792).

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

3835234800 is a wasteful number, since it uses less digits than its factorization.

3835234800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1065367 (or 1065353 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 3835234800 is about 61929.2725615278. The cubic root of 3835234800 is about 1565.2990408695.

The spelling of 3835234800 in words is "three billion, eight hundred thirty-five million, two hundred thirty-four thousand, eight hundred".