34149492000 has 576 divisors, whose sum is σ = 134673477120. Its totient is φ = 8401536000.

The previous prime is 34149491969. The next prime is 34149492001. The reversal of 34149492000 is 29494143.

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 (34149492001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18251065 + ... + 18252935.

It is an arithmetic number, because the mean of its divisors is an integer number (233808120).

Almost surely, 2^34149492000 is an apocalyptic number.

34149492000 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 34149492000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67336738560).

34149492000 is an abundant number, since it is smaller than the sum of its proper divisors (100523985120).

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

34149492000 is a wasteful number, since it uses less digits than its factorization.

34149492000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1931 (or 1894 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 34149492000 in words is "thirty-four billion, one hundred forty-nine million, four hundred ninety-two thousand".