34679122403820 has 96 divisors (see below), whose sum is σ = 97848283357440. Its totient is φ = 9176655770880.

The previous prime is 34679122403741. The next prime is 34679122403839. The reversal of 34679122403820 is 2830422197643.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151261194 + ... + 151490286.

It is an arithmetic number, because the mean of its divisors is an integer number (1019252951640).

Almost surely, 2^{34679122403820} is an apocalyptic number.

34679122403820 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 34679122403820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48924141678720).

34679122403820 is an abundant number, since it is smaller than the sum of its proper divisors (63169160953620).

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

34679122403820 is a wasteful number, since it uses less digits than its factorization.

34679122403820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248495 (or 248493 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 51.

The spelling of 34679122403820 in words is "thirty-four trillion, six hundred seventy-nine billion, one hundred twenty-two million, four hundred three thousand, eight hundred twenty".