34648761420 has 576 divisors, whose sum is σ = 135908720640. Its totient is φ = 7263696384.

The previous prime is 34648761419. The next prime is 34648761449. The reversal of 34648761420 is 2416784643.

34648761420 is a `hidden beast` number, since 3 + 4 + 6 + 4 + 8 + 7 + 614 + 20 = 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 191 ways as a sum of consecutive naturals, for example, 90466549 + ... + 90466931.

It is an arithmetic number, because the mean of its divisors is an integer number (235952640).

Almost surely, 2^34648761420 is an apocalyptic number.

34648761420 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 34648761420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67954360320).

34648761420 is an abundant number, since it is smaller than the sum of its proper divisors (101259959220).

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

34648761420 is a wasteful number, since it uses less digits than its factorization.

34648761420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 34648761420 in words is "thirty-four billion, six hundred forty-eight million, seven hundred sixty-one thousand, four hundred twenty".