3334964400 has 150 divisors (see below), whose sum is σ = 11969035892. Its totient is φ = 889315200.

The previous prime is 3334964393. The next prime is 3334964431. The reversal of 3334964400 is 44694333.

It is a happy number.

3334964400 is a `hidden beast` number, since 3 + 3 + 3 + 4 + 9 + 644 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (150).

It is a super-2 number, since 2×3334964400² = 22243975098534720000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 19066 + ... + 83865.

Almost surely, 2^3334964400 is an apocalyptic number.

3334964400 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 3334964400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5984517946).

3334964400 is an abundant number, since it is smaller than the sum of its proper divisors (8634071492).

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

3334964400 is a wasteful number, since it uses less digits than its factorization.

3334964400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102961 (or 102941 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The square root of 3334964400 is about 57749.1506431047. The cubic root of 3334964400 is about 1494.0451914525.

The spelling of 3334964400 in words is "three billion, three hundred thirty-four million, nine hundred sixty-four thousand, four hundred".