3401069472000 has 720 divisors, whose sum is σ = 12775760629632. Its totient is φ = 898402406400.

The previous prime is 3401069471903. The next prime is 3401069472019. The reversal of 3401069472000 is 2749601043.

3401069472000 is a `hidden beast` number, since 3 + 401 + 0 + 6 + 9 + 47 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 79 ways as a sum of consecutive naturals, for example, 277337869 + ... + 277350131.

Almost surely, 2^{3401069472000} is an apocalyptic number.

3401069472000 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 3401069472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6387880314816).

3401069472000 is an abundant number, since it is smaller than the sum of its proper divisors (9374691157632).

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

3401069472000 is a wasteful number, since it uses less digits than its factorization.

3401069472000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12413 (or 12380 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 3401069472000 in words is "three trillion, four hundred one billion, sixty-nine million, four hundred seventy-two thousand".