3370496400 has 120 divisors (see below), whose sum is σ = 11996508960. Its totient is φ = 898796160.

The previous prime is 3370496357. The next prime is 3370496411. The reversal of 3370496400 is 46940733.

3370496400 is a `hidden beast` number, since 3 + 3 + 7 + 0 + 4 + 9 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×3370496400² = 22720491964825920000, 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 23 ways as a sum of consecutive naturals, for example, 145242 + ... + 166841.

It is an arithmetic number, because the mean of its divisors is an integer number (99970908).

Almost surely, 2^3370496400 is an apocalyptic number.

3370496400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3370496400 is an abundant number, since it is smaller than the sum of its proper divisors (8626012560).

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

3370496400 is a wasteful number, since it uses less digits than its factorization.

3370496400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312110 (or 312093 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 3370496400 is about 58055.9764365392. The cubic root of 3370496400 is about 1499.3325030092.

It can be divided in two parts, 3370496 and 400, that added together give a square (3370896 = 1836²).

The spelling of 3370496400 in words is "three billion, three hundred seventy million, four hundred ninety-six thousand, four hundred".