3402361405020 has 192 divisors, whose sum is σ = 10018391040000. Its totient is φ = 861083629824.

The previous prime is 3402361405007. The next prime is 3402361405049. The reversal of 3402361405020 is 205041632043.

3402361405020 is digitally balanced in base 2, because in such base 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 (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 391116631 + ... + 391125329.

It is an arithmetic number, because the mean of its divisors is an integer number (52179120000).

Almost surely, 2^{3402361405020} is an apocalyptic number.

3402361405020 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 3402361405020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5009195520000).

3402361405020 is an abundant number, since it is smaller than the sum of its proper divisors (6616029634980).

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

3402361405020 is a wasteful number, since it uses less digits than its factorization.

3402361405020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10912 (or 10910 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The spelling of 3402361405020 in words is "three trillion, four hundred two billion, three hundred sixty-one million, four hundred five thousand, twenty".