3401298164160 has 420 divisors, whose sum is σ = 13101318164088. Its totient is φ = 837241546752.

The previous prime is 3401298164137. The next prime is 3401298164167. The reversal of 3401298164160 is 614618921043.

3401298164160 is a `hidden beast` number, since 3 + 40 + 1 + 298 + 164 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3401298164167) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3992247 + ... + 4768713.

Almost surely, 2^{3401298164160} is an apocalyptic number.

3401298164160 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 3401298164160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6550659082044).

3401298164160 is an abundant number, since it is smaller than the sum of its proper divisors (9700019999928).

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

3401298164160 is a wasteful number, since it uses less digits than its factorization.

3401298164160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776522 (or 776490 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 3401298164160 in words is "three trillion, four hundred one billion, two hundred ninety-eight million, one hundred sixty-four thousand, one hundred sixty".