34992048 has 80 divisors (see below), whose sum is σ = 111270656. Its totient is φ = 9227520.

The previous prime is 34992043. The next prime is 34992049. The reversal of 34992048 is 84029943.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 34991997 and 34992015.

It is not an unprimeable number, because it can be changed into a prime (34992043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 363 + ... + 8373.

Almost surely, 2^34992048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34992048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55635328).

34992048 is an abundant number, since it is smaller than the sum of its proper divisors (76278608).

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

34992048 is a wasteful number, since it uses less digits than its factorization.

34992048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8042 (or 8036 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 34992048 is about 5915.4076782585. The cubic root of 34992048 is about 327.0818562670.

The spelling of 34992048 in words is "thirty-four million, nine hundred ninety-two thousand, forty-eight".