34874137620 has 576 divisors, whose sum is σ = 133371463680. Its totient is φ = 7194230784.

The previous prime is 34874137609. The next prime is 34874137667. The reversal of 34874137620 is 2673147843.

34874137620 is a `hidden beast` number, since 3 + 4 + 8 + 7 + 4 + 13 + 7 + 620 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 62610382 + ... + 62610938.

It is an arithmetic number, because the mean of its divisors is an integer number (231547680).

Almost surely, 2^34874137620 is an apocalyptic number.

34874137620 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 34874137620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66685731840).

34874137620 is an abundant number, since it is smaller than the sum of its proper divisors (98497326060).

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

34874137620 is a wasteful number, since it uses less digits than its factorization.

34874137620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 707 counting only the distinct ones).

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

The spelling of 34874137620 in words is "thirty-four billion, eight hundred seventy-four million, one hundred thirty-seven thousand, six hundred twenty".