34755742973952 has 4320 divisors, whose sum is σ = 156019069140480. Its totient is φ = 7430083706880.

The previous prime is 34755742973923. The next prime is 34755742973981. The reversal of 34755742973952 is 25937924755743.

34755742973952 is a `hidden beast` number, since 3 + 4 + 75 + 57 + 429 + 7 + 39 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (34755742973923) and next prime (34755742973981).

It is a Harshad number since it is a multiple of its sum of digits (72).

Its product of digits (2000376000) is a multiple of the sum of its prime divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1829249630199 + ... + 1829249630217.

It is an arithmetic number, because the mean of its divisors is an integer number (36115525264).

Almost surely, 2^{34755742973952} is an apocalyptic number.

34755742973952 is a gapful number since it is divisible by the number (32) 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 34755742973952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78009534570240).

34755742973952 is an abundant number, since it is smaller than the sum of its proper divisors (121263326166528).

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

34755742973952 is an equidigital number, since it uses as much as digits as its factorization.

34755742973952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 72 counting only the distinct ones).

The product of its digits is 2000376000, while the sum is 72.

The spelling of 34755742973952 in words is "thirty-four trillion, seven hundred fifty-five billion, seven hundred forty-two million, nine hundred seventy-three thousand, nine hundred fifty-two".