34002990 has 96 divisors (see below), whose sum is σ = 104832000. Its totient is φ = 7768224.

The previous prime is 34002973. The next prime is 34003031. The reversal of 34002990 is 9920043.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16011 + ... + 18009.

It is an arithmetic number, because the mean of its divisors is an integer number (1092000).

Almost surely, 2^34002990 is an apocalyptic number.

34002990 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34002990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52416000).

34002990 is an abundant number, since it is smaller than the sum of its proper divisors (70829010).

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

34002990 is a wasteful number, since it uses less digits than its factorization.

34002990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2028 (or 2016 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 34002990 is about 5831.2082795935. The cubic root of 34002990 is about 323.9706763585.

The spelling of 34002990 in words is "thirty-four million, two thousand, nine hundred ninety".