34142976 has 216 divisors, whose sum is σ = 117979680. Its totient is φ = 9289728.

The previous prime is 34142959. The next prime is 34142993. The reversal of 34142976 is 67924143.

It is an interprime number because it is at equal distance from previous prime (34142959) and next prime (34142993).

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 34142976.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 467676 + ... + 467748.

Almost surely, 2^34142976 is an apocalyptic number.

34142976 is a gapful number since it is divisible by the number (36) 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 34142976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58989840).

34142976 is an abundant number, since it is smaller than the sum of its proper divisors (83836704).

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

34142976 is a wasteful number, since it uses less digits than its factorization.

34142976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 114 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 34142976 is about 5843.1991237677. The cubic root of 34142976 is about 324.4146497246.

The spelling of 34142976 in words is "thirty-four million, one hundred forty-two thousand, nine hundred seventy-six".