34758097920 has 1056 divisors, whose sum is σ = 154219473408. Its totient is φ = 7309688832.

The previous prime is 34758097919. The next prime is 34758097921. The reversal of 34758097920 is 2979085743.

34758097920 is a `hidden beast` number, since 3 + 475 + 80 + 9 + 7 + 92 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (34758097919) and next prime (34758097921).

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 (34758097921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 113218407 + ... + 113218713.

It is an arithmetic number, because the mean of its divisors is an integer number (146041168).

Almost surely, 2^34758097920 is an apocalyptic number.

34758097920 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 34758097920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77109736704).

34758097920 is an abundant number, since it is smaller than the sum of its proper divisors (119461375488).

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

34758097920 is a wasteful number, since it uses less digits than its factorization.

34758097920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 34758097920 in words is "thirty-four billion, seven hundred fifty-eight million, ninety-seven thousand, nine hundred twenty".