34151949000 has 768 divisors, whose sum is σ = 135940896000. Its totient is φ = 7950182400.

The previous prime is 34151948989. The next prime is 34151949001. The reversal of 34151949000 is 94915143.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (34151949001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 60020716 + ... + 60021284.

It is an arithmetic number, because the mean of its divisors is an integer number (177006375).

Almost surely, 2^34151949000 is an apocalyptic number.

34151949000 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 34151949000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67970448000).

34151949000 is an abundant number, since it is smaller than the sum of its proper divisors (101788947000).

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

34151949000 is a wasteful number, since it uses less digits than its factorization.

34151949000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 34151949000 in words is "thirty-four billion, one hundred fifty-one million, nine hundred forty-nine thousand".