34552115040 has 96 divisors (see below), whose sum is σ = 109021169376. Its totient is φ = 9198489600.

The previous prime is 34552115027. The next prime is 34552115053. The reversal of 34552115040 is 4051125543.

34552115040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (34552115027) and next prime (34552115053).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 34552114989 and 34552115007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 228594 + ... + 348366.

It is an arithmetic number, because the mean of its divisors is an integer number (1135637181).

Almost surely, 2^34552115040 is an apocalyptic number.

34552115040 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 34552115040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54510584688).

34552115040 is an abundant number, since it is smaller than the sum of its proper divisors (74469054336).

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

34552115040 is a wasteful number, since it uses less digits than its factorization.

34552115040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120392 (or 120384 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 34552115040 in words is "thirty-four billion, five hundred fifty-two million, one hundred fifteen thousand, forty".