34726700161440 has 1728 divisors, whose sum is σ = 155870369141760. Its totient is φ = 6980115824640.

The previous prime is 34726700161357. The next prime is 34726700161463. The reversal of 34726700161440 is 4416100762743.

34726700161440 is a `hidden beast` number, since 3 + 4 + 7 + 26 + 7 + 0 + 0 + 1 + 614 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1078352379 + ... + 1078384581.

It is an arithmetic number, because the mean of its divisors is an integer number (90202759920).

Almost surely, 2^{34726700161440} is an apocalyptic number.

34726700161440 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 34726700161440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77935184570880).

34726700161440 is an abundant number, since it is smaller than the sum of its proper divisors (121143668980320).

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

34726700161440 is a wasteful number, since it uses less digits than its factorization.

34726700161440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32315 (or 32297 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 34726700161440 in words is "thirty-four trillion, seven hundred twenty-six billion, seven hundred million, one hundred sixty-one thousand, four hundred forty".