34690975410 has 512 divisors, whose sum is σ = 110560665600. Its totient is φ = 6913299456.

The previous prime is 34690975381. The next prime is 34690975427. The reversal of 34690975410 is 1457909643.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 34690975410.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 212827989 + ... + 212828151.

It is an arithmetic number, because the mean of its divisors is an integer number (215938800).

Almost surely, 2^34690975410 is an apocalyptic number.

34690975410 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 34690975410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55280332800).

34690975410 is an abundant number, since it is smaller than the sum of its proper divisors (75869690190).

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

34690975410 is a wasteful number, since it uses less digits than its factorization.

34690975410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The spelling of 34690975410 in words is "thirty-four billion, six hundred ninety million, nine hundred seventy-five thousand, four hundred ten".