3468793900 has 288 divisors, whose sum is σ = 9869368320. Its totient is φ = 1036800000.

The previous prime is 3468793879. The next prime is 3468793981. The reversal of 3468793900 is 93978643.

It is a super-2 number, since 2×3468793900² = 24065062241354420000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4618525 + ... + 4619275.

It is an arithmetic number, because the mean of its divisors is an integer number (34268640).

Almost surely, 2^3468793900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3468793900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4934684160).

3468793900 is an abundant number, since it is smaller than the sum of its proper divisors (6400574420).

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

3468793900 is a wasteful number, since it uses less digits than its factorization.

3468793900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 49.

The square root of 3468793900 is about 58896.4676360136. The cubic root of 3468793900 is about 1513.7686225864.

The spelling of 3468793900 in words is "three billion, four hundred sixty-eight million, seven hundred ninety-three thousand, nine hundred".