3376670400 has 252 divisors, whose sum is σ = 12066023112. Its totient is φ = 895610880.

The previous prime is 3376670393. The next prime is 3376670447. The reversal of 3376670400 is 40766733.

It is a super-2 number, since 2×3376670400² = 22803805980472320000, 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 35 ways as a sum of consecutive naturals, for example, 3268284 + ... + 3269316.

Almost surely, 2^3376670400 is an apocalyptic number.

3376670400 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 3376670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6033011556).

3376670400 is an abundant number, since it is smaller than the sum of its proper divisors (8689352712).

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

3376670400 is a wasteful number, since it uses less digits than its factorization.

3376670400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1288 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 36.

The square root of 3376670400 is about 58109.1249288784. The cubic root of 3376670400 is about 1500.2474258514.

The spelling of 3376670400 in words is "three billion, three hundred seventy-six million, six hundred seventy thousand, four hundred".