3506354400 has 72 divisors (see below), whose sum is σ = 11413191384. Its totient is φ = 935027200.

The previous prime is 3506354389. The next prime is 3506354413. The reversal of 3506354400 is 44536053.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 728091 + ... + 732890.

It is an arithmetic number, because the mean of its divisors is an integer number (158516547).

Almost surely, 2^3506354400 is an apocalyptic number.

3506354400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3506354400 is an abundant number, since it is smaller than the sum of its proper divisors (7906836984).

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

3506354400 is a wasteful number, since it uses less digits than its factorization.

3506354400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1461004 (or 1460991 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The square root of 3506354400 is about 59214.4779593640. The cubic root of 3506354400 is about 1519.2127733348.

The spelling of 3506354400 in words is "three billion, five hundred six million, three hundred fifty-four thousand, four hundred".