3494692800 has 504 divisors, whose sum is σ = 13376666160. Its totient is φ = 862617600.

The previous prime is 3494692757. The next prime is 3494692913. The reversal of 3494692800 is 82964943.

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

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 14500680 + ... + 14500920.

Almost surely, 2^3494692800 is an apocalyptic number.

3494692800 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 3494692800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6688333080).

3494692800 is an abundant number, since it is smaller than the sum of its proper divisors (9881973360).

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

3494692800 is a wasteful number, since it uses less digits than its factorization.

3494692800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 3494692800 is about 59115.9267879647. The cubic root of 3494692800 is about 1517.5266793880.

The spelling of 3494692800 in words is "three billion, four hundred ninety-four million, six hundred ninety-two thousand, eight hundred".