34799103630 has 256 divisors, whose sum is σ = 101685657600. Its totient is φ = 8435871360.

The previous prime is 34799103629. The next prime is 34799103631. The reversal of 34799103630 is 3630199743.

It is a happy number.

34799103630 is a `hidden beast` number, since 3 + 4 + 7 + 9 + 9 + 1 + 0 + 3 + 630 = 666.

It is an interprime number because it is at equal distance from previous prime (34799103629) and next prime (34799103631).

It is a super-2 number, since 2×34799103630² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34799103631) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20195949 + ... + 20197671.

It is an arithmetic number, because the mean of its divisors is an integer number (397209600).

Almost surely, 2^34799103630 is an apocalyptic number.

34799103630 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 34799103630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50842828800).

34799103630 is an abundant number, since it is smaller than the sum of its proper divisors (66886553970).

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

34799103630 is a wasteful number, since it uses less digits than its factorization.

34799103630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1916 (or 1910 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 45.

The spelling of 34799103630 in words is "thirty-four billion, seven hundred ninety-nine million, one hundred three thousand, six hundred thirty".