34040049120 has 1080 divisors, whose sum is σ = 153952461432. Its totient is φ = 7057290240.

The previous prime is 34040049101. The next prime is 34040049157. The reversal of 34040049120 is 2194004043.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 76839619 + ... + 76840061.

Almost surely, 2^34040049120 is an apocalyptic number.

34040049120 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 34040049120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76976230716).

34040049120 is an abundant number, since it is smaller than the sum of its proper divisors (119912412312).

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

34040049120 is a wasteful number, since it uses less digits than its factorization.

34040049120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 34040049120 in words is "thirty-four billion, forty million, forty-nine thousand, one hundred twenty".