34401662460 has 216 divisors, whose sum is σ = 115209909360. Its totient is φ = 8302778880.

The previous prime is 34401662441. The next prime is 34401662473. The reversal of 34401662460 is 6426610443.

34401662460 is a `hidden beast` number, since 3 + 4 + 401 + 6 + 6 + 246 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 5071351 + ... + 5078129.

It is an arithmetic number, because the mean of its divisors is an integer number (533379210).

Almost surely, 2^34401662460 is an apocalyptic number.

34401662460 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 34401662460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57604954680).

34401662460 is an abundant number, since it is smaller than the sum of its proper divisors (80808246900).

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

34401662460 is a wasteful number, since it uses less digits than its factorization.

34401662460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7049 (or 7033 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 34401662460 in words is "thirty-four billion, four hundred one million, six hundred sixty-two thousand, four hundred sixty".