34992540 has 192 divisors, whose sum is σ = 122411520. Its totient is φ = 8225280.

The previous prime is 34992539. The next prime is 34992541. The reversal of 34992540 is 4529943.

34992540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (34992539) and next prime (34992541).

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

It is a junction number, because it is equal to n+sod(n) for n = 34992495 and 34992504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34992541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 255352 + ... + 255488.

It is an arithmetic number, because the mean of its divisors is an integer number (637560).

Almost surely, 2^34992540 is an apocalyptic number.

34992540 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 34992540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61205760).

34992540 is an abundant number, since it is smaller than the sum of its proper divisors (87418980).

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

34992540 is a wasteful number, since it uses less digits than its factorization.

34992540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 34992540 is about 5915.4492644262. The cubic root of 34992540 is about 327.0833892202.

The spelling of 34992540 in words is "thirty-four million, nine hundred ninety-two thousand, five hundred forty".