34274398462920 has 1536 divisors, whose sum is σ = 144897113088000. Its totient is φ = 6820595712000.

The previous prime is 34274398462873. The next prime is 34274398462921. The reversal of 34274398462920 is 2926489347243.

34274398462920 is a `hidden beast` number, since 3 + 4 + 27 + 43 + 98 + 462 + 9 + 20 = 666.

It is a super-3 number, since 3×34274398462920³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (34274398462921) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 21706394691 + ... + 21706396269.

It is an arithmetic number, because the mean of its divisors is an integer number (94334058000).

Almost surely, 2^{34274398462920} is an apocalyptic number.

34274398462920 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 34274398462920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72448556544000).

34274398462920 is an abundant number, since it is smaller than the sum of its proper divisors (110622714625080).

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

34274398462920 is a wasteful number, since it uses less digits than its factorization.

34274398462920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1995 (or 1988 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 63.

The spelling of 34274398462920 in words is "thirty-four trillion, two hundred seventy-four billion, three hundred ninety-eight million, four hundred sixty-two thousand, nine hundred twenty".