34649093700 has 216 divisors, whose sum is σ = 120734105856. Its totient is φ = 8253792000.

The previous prime is 34649093653. The next prime is 34649093707. The reversal of 34649093700 is 739094643.

34649093700 is a `hidden beast` number, since 3 + 4 + 6 + 490 + 93 + 70 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (34649093707) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 314935 + ... + 410465.

Almost surely, 2^34649093700 is an apocalyptic number.

34649093700 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 34649093700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60367052928).

34649093700 is an abundant number, since it is smaller than the sum of its proper divisors (86085012156).

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

34649093700 is a wasteful number, since it uses less digits than its factorization.

34649093700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95595 (or 95585 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 34649093700 in words is "thirty-four billion, six hundred forty-nine million, ninety-three thousand, seven hundred".