3457738800 has 480 divisors, whose sum is σ = 13409409600. Its totient is φ = 842711040.

The previous prime is 3457738793. The next prime is 3457738819. The reversal of 3457738800 is 88377543.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6792946 + ... + 6793454.

It is an arithmetic number, because the mean of its divisors is an integer number (27936270).

Almost surely, 2^3457738800 is an apocalyptic number.

3457738800 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 3457738800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6704704800).

3457738800 is an abundant number, since it is smaller than the sum of its proper divisors (9951670800).

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

3457738800 is a wasteful number, since it uses less digits than its factorization.

3457738800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 3457738800 is about 58802.5407614331. The cubic root of 3457738800 is about 1512.1587764730.

The spelling of 3457738800 in words is "three billion, four hundred fifty-seven million, seven hundred thirty-eight thousand, eight hundred".