10349658004 has 48 divisors (see below), whose sum is σ = 21947563008. Its totient is φ = 4168816128.

The previous prime is 10349657993. The next prime is 10349658031. The reversal of 10349658004 is 40085694301.

It is a super-2 number, since 2×10349658004² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 334077 + ... + 363739.

It is an arithmetic number, because the mean of its divisors is an integer number (457240896).

Almost surely, 2^10349658004 is an apocalyptic number.

10349658004 is a gapful number since it is divisible by the number (14) 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 10349658004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10973781504).

10349658004 is an abundant number, since it is smaller than the sum of its proper divisors (11597905004).

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

10349658004 is a wasteful number, since it uses less digits than its factorization.

10349658004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30424 (or 30422 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The spelling of 10349658004 in words is "ten billion, three hundred forty-nine million, six hundred fifty-eight thousand, four".