3490619622400 has 99 divisors (see below), whose sum is σ = 8653250792199. Its totient is φ = 1396128276480.

The previous prime is 3490619622361. The next prime is 3490619622431. The reversal of 3490619622400 is 42269160943.

The square root of 3490619622400 is 1868320.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 217588663296 + 3273030959104 = 466464^2 + 1809152^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 298925362 + ... + 298937038.

Almost surely, 2^{3490619622400} is an apocalyptic number.

3490619622400 is the 1868320-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3490619622400

3490619622400 is an abundant number, since it is smaller than the sum of its proper divisors (5162631169799).

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

3490619622400 is an frugal number, since it uses more digits than its factorization.

3490619622400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23384 (or 11684 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 46.

The spelling of 3490619622400 in words is "three trillion, four hundred ninety billion, six hundred nineteen million, six hundred twenty-two thousand, four hundred".