34666974397440 has 3168 divisors, whose sum is σ = 159142479455232. Its totient is φ = 7081559654400.

The previous prime is 34666974397439. The next prime is 34666974397469. The reversal of 34666974397440 is 4479347966643.

It is a tau number, because it is divible by the number of its divisors (3168).

It is a super-2 number, since 2×34666974397440² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 70604835595 + ... + 70604836085.

Almost surely, 2^{34666974397440} is an apocalyptic number.

34666974397440 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 34666974397440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79571239727616).

34666974397440 is an abundant number, since it is smaller than the sum of its proper divisors (124475505057792).

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

34666974397440 is a wasteful number, since it uses less digits than its factorization.

34666974397440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 1975228416, while the sum is 72.

The spelling of 34666974397440 in words is "thirty-four trillion, six hundred sixty-six billion, nine hundred seventy-four million, three hundred ninety-seven thousand, four hundred forty".