34994901480 has 512 divisors, whose sum is σ = 140415897600. Its totient is φ = 6757171200.

The previous prime is 34994901467. The next prime is 34994901493. The reversal of 34994901480 is 8410949943.

It is a happy number.

34994901480 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 (34994901467) and next prime (34994901493).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9302800 + ... + 9306560.

It is an arithmetic number, because the mean of its divisors is an integer number (274249800).

Almost surely, 2^34994901480 is an apocalyptic number.

34994901480 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 34994901480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70207948800).

34994901480 is an abundant number, since it is smaller than the sum of its proper divisors (105420996120).

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

34994901480 is a wasteful number, since it uses less digits than its factorization.

34994901480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3865 (or 3861 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 51.

The spelling of 34994901480 in words is "thirty-four billion, nine hundred ninety-four million, nine hundred one thousand, four hundred eighty".