3379076400 has 240 divisors, whose sum is σ = 13098875904. Its totient is φ = 726896640.

The previous prime is 3379076359. The next prime is 3379076411. The reversal of 3379076400 is 46709733.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×3379076400² = 22836314634073920000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130969 + ... + 154631.

Almost surely, 2^3379076400 is an apocalyptic number.

3379076400 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 3379076400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6549437952).

3379076400 is an abundant number, since it is smaller than the sum of its proper divisors (9719799504).

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

3379076400 is a wasteful number, since it uses less digits than its factorization.

3379076400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23708 (or 23697 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 39.

The square root of 3379076400 is about 58129.8236708146. The cubic root of 3379076400 is about 1500.6036681350.

The spelling of 3379076400 in words is "three billion, three hundred seventy-nine million, seventy-six thousand, four hundred".