3427372800 has 324 divisors, whose sum is σ = 12364217320. Its totient is φ = 905748480.

The previous prime is 3427372769. The next prime is 3427372813. The reversal of 3427372800 is 82737243.

3427372800 is a `hidden beast` number, since 342 + 7 + 37 + 280 + 0 = 666.

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

It is a congruent number.

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, 9043011 + ... + 9043389.

Almost surely, 2^3427372800 is an apocalyptic number.

3427372800 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 3427372800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6182108660).

3427372800 is an abundant number, since it is smaller than the sum of its proper divisors (8936844520).

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

3427372800 is a wasteful number, since it uses less digits than its factorization.

3427372800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 3427372800 is about 58543.7682422305. The cubic root of 3427372800 is about 1507.7191417601.

The spelling of 3427372800 in words is "three billion, four hundred twenty-seven million, three hundred seventy-two thousand, eight hundred".