3402230356080 has 480 divisors, whose sum is σ = 12007689422976. Its totient is φ = 861640851456.

The previous prime is 3402230356073. The next prime is 3402230356117. The reversal of 3402230356080 is 806530322043.

It is a happy number.

3402230356080 is a `hidden beast` number, since 3 + 4 + 0 + 223 + 0 + 356 + 0 + 80 = 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 95 ways as a sum of consecutive naturals, for example, 3045863682 + ... + 3045864798.

Almost surely, 2^{3402230356080} is an apocalyptic number.

3402230356080 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 3402230356080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6003844711488).

3402230356080 is an abundant number, since it is smaller than the sum of its proper divisors (8605459066896).

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

3402230356080 is a wasteful number, since it uses less digits than its factorization.

3402230356080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2305 (or 2296 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 3402230356080 in words is "three trillion, four hundred two billion, two hundred thirty million, three hundred fifty-six thousand, eighty".