34780164120 has 384 divisors, whose sum is σ = 123785625600. Its totient is φ = 8418235392.

The previous prime is 34780164091. The next prime is 34780164131. The reversal of 34780164120 is 2146108743.

34780164120 is a `hidden beast` number, since 3 + 4 + 7 + 8 + 0 + 1 + 641 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 96880501 + ... + 96880859.

It is an arithmetic number, because the mean of its divisors is an integer number (322358400).

Almost surely, 2^34780164120 is an apocalyptic number.

34780164120 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 34780164120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61892812800).

34780164120 is an abundant number, since it is smaller than the sum of its proper divisors (89005461480).

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

34780164120 is a wasteful number, since it uses less digits than its factorization.

34780164120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 34780164120 in words is "thirty-four billion, seven hundred eighty million, one hundred sixty-four thousand, one hundred twenty".