3334906400 has 72 divisors (see below), whose sum is σ = 9304404480. Its totient is φ = 1143394560.

The previous prime is 3334906373. The next prime is 3334906427. The reversal of 3334906400 is 46094333.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3334906373) and next prime (3334906427).

It is a super-2 number, since 2×3334906400² = 22243201393521920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 292160 + ... + 303359.

It is an arithmetic number, because the mean of its divisors is an integer number (129227840).

Almost surely, 2^3334906400 is an apocalyptic number.

It is an amenable number.

3334906400 is an abundant number, since it is smaller than the sum of its proper divisors (5969498080).

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

3334906400 is a wasteful number, since it uses less digits than its factorization.

3334906400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595546 (or 595533 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 32.

The square root of 3334906400 is about 57748.6484690335. The cubic root of 3334906400 is about 1494.0365301783.

The spelling of 3334906400 in words is "three billion, three hundred thirty-four million, nine hundred six thousand, four hundred".