3401153978832 has 120 divisors (see below), whose sum is σ = 9594802932000. Its totient is φ = 1124637246720.

The previous prime is 3401153978821. The next prime is 3401153978839. The reversal of 3401153978832 is 2388793511043.

3401153978832 is a `hidden beast` number, since 3 + 4 + 0 + 1 + 1 + 539 + 78 + 8 + 32 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3401153978839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51824343 + ... + 51889929.

It is an arithmetic number, because the mean of its divisors is an integer number (79956691100).

Almost surely, 2^{3401153978832} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3401153978832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4797401466000).

3401153978832 is an abundant number, since it is smaller than the sum of its proper divisors (6193648953168).

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

3401153978832 is a wasteful number, since it uses less digits than its factorization.

3401153978832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68481 (or 68472 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 3401153978832 in words is "three trillion, four hundred one billion, one hundred fifty-three million, nine hundred seventy-eight thousand, eight hundred thirty-two".