3401958913600 has 189 divisors, whose sum is σ = 9066952460547. Its totient is φ = 1255753774080.

The previous prime is 3401958913597. The next prime is 3401958913601. The reversal of 3401958913600 is 63198591043.

The square root of 3401958913600 is 1844440.

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 876859942464 + 2525098971136 = 936408^2 + 1589056^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3401958913601) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 959107027 + ... + 959110573.

Almost surely, 2^{3401958913600} is an apocalyptic number.

3401958913600 is the 1844440-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3401958913600

3401958913600 is an abundant number, since it is smaller than the sum of its proper divisors (5664993546947).

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

3401958913600 is an frugal number, since it uses more digits than its factorization.

3401958913600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7142 (or 3567 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 49.

Multiplying 3401958913600 by its sum of digits (49), we get a square (166695986766400 = 12911080²).

The spelling of 3401958913600 in words is "three trillion, four hundred one billion, nine hundred fifty-eight million, nine hundred thirteen thousand, six hundred".