3449919900816 has 135 divisors (see below), whose sum is σ = 9978480572697. Its totient is φ = 1112654499840.

The previous prime is 3449919900737. The next prime is 3449919900827. The reversal of 3449919900816 is 6180099199443.

The square root of 3449919900816 is 1857396.

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

3449919900816 is a `hidden beast` number, since 3 + 449 + 91 + 9 + 90 + 0 + 8 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1200207891600 + 2249712009216 = 1095540^2 + 1499904^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 690948816 + ... + 690953808.

Almost surely, 2^{3449919900816} is an apocalyptic number.

3449919900816 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3449919900816 is the 1857396-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3449919900816

3449919900816 is an abundant number, since it is smaller than the sum of its proper divisors (6528560671881).

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

3449919900816 is an frugal number, since it uses more digits than its factorization.

3449919900816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10062 (or 5029 counting only the distinct ones).

The product of its (nonzero) digits is 15116544, while the sum is 63.

The spelling of 3449919900816 in words is "three trillion, four hundred forty-nine billion, nine hundred nineteen million, nine hundred thousand, eight hundred sixteen".