342133961400 has 2304 divisors, whose sum is σ = 1621229568000. Its totient is φ = 64665216000.

The previous prime is 342133961371. The next prime is 342133961423. The reversal of 342133961400 is 4169331243.

342133961400 is a `hidden beast` number, since 3 + 4 + 2 + 1 + 3 + 39 + 614 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 2693968137 + ... + 2693968263.

Almost surely, 2^342133961400 is an apocalyptic number.

342133961400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342133961400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810614784000).

342133961400 is an abundant number, since it is smaller than the sum of its proper divisors (1279095606600).

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

342133961400 is a wasteful number, since it uses less digits than its factorization.

342133961400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 342133961400 in words is "three hundred forty-two billion, one hundred thirty-three million, nine hundred sixty-one thousand, four hundred".