3401405850600 has 72 divisors (see below), whose sum is σ = 11423054654310. Its totient is φ = 907041559680.

The previous prime is 3401405850571. The next prime is 3401405850611. The reversal of 3401405850600 is 60585041043.

It is a happy number.

3401405850600 is a `hidden beast` number, since 3 + 4 + 0 + 1 + 40 + 5 + 8 + 5 + 0 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1992213685764 + 1409192164836 = 1411458^2 + 1187094^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 944833159 + ... + 944836758.

Almost surely, 2^{3401405850600} is an apocalyptic number.

3401405850600 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3401405850600 is an abundant number, since it is smaller than the sum of its proper divisors (8021648803710).

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

3401405850600 is a wasteful number, since it uses less digits than its factorization.

3401405850600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1889669939 (or 1889669927 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 3401405850600 in words is "three trillion, four hundred one billion, four hundred five million, eight hundred fifty thousand, six hundred".