3395876400 has 1080 divisors, whose sum is σ = 15313019904. Its totient is φ = 718502400.

The previous prime is 3395876381. The next prime is 3395876401. The reversal of 3395876400 is 46785933.

3395876400 is a `hidden beast` number, since 3 + 3 + 9 + 587 + 64 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3395876401) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 109544385 + ... + 109544415.

Almost surely, 2^3395876400 is an apocalyptic number.

3395876400 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 3395876400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7656509952).

3395876400 is an abundant number, since it is smaller than the sum of its proper divisors (11917143504).

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

3395876400 is a wasteful number, since it uses less digits than its factorization.

3395876400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 3395876400 is about 58274.1486424298. The cubic root of 3395876400 is about 1503.0864448828.

The spelling of 3395876400 in words is "three billion, three hundred ninety-five million, eight hundred seventy-six thousand, four hundred".