3401145792 has 168 divisors, whose sum is σ = 11097889920. Its totient is φ = 985797120.

The previous prime is 3401145779. The next prime is 3401145809. The reversal of 3401145792 is 2975411043.

3401145792 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 134059 + ... + 157397.

Almost surely, 2^3401145792 is an apocalyptic number.

3401145792 is a gapful number since it is divisible by the number (32) 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 3401145792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5548944960).

3401145792 is an abundant number, since it is smaller than the sum of its proper divisors (7696744128).

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

3401145792 is a wasteful number, since it uses less digits than its factorization.

3401145792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23391 (or 23378 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 3401145792 is about 58319.3432061782. The cubic root of 3401145792 is about 1503.8634910809.

The spelling of 3401145792 in words is "three billion, four hundred one million, one hundred forty-five thousand, seven hundred ninety-two".