34958545920 has 352 divisors, whose sum is σ = 127147194240. Its totient is φ = 9103933440.

The previous prime is 34958545891. The next prime is 34958545927. The reversal of 34958545920 is 2954585943.

34958545920 is a `hidden beast` number, since 3 + 4 + 9 + 5 + 8 + 545 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34958545927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5941380 + ... + 5947260.

It is an arithmetic number, because the mean of its divisors is an integer number (361213620).

Almost surely, 2^34958545920 is an apocalyptic number.

34958545920 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 34958545920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63573597120).

34958545920 is an abundant number, since it is smaller than the sum of its proper divisors (92188648320).

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

34958545920 is a wasteful number, since it uses less digits than its factorization.

34958545920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5958 (or 5934 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 34958545920 in words is "thirty-four billion, nine hundred fifty-eight million, five hundred forty-five thousand, nine hundred twenty".