3842612694900 has 360 divisors, whose sum is σ = 14297906958720. Its totient is φ = 874473096960.

The previous prime is 3842612694889. The next prime is 3842612694953. The reversal of 3842612694900 is 94962162483.

3842612694900 is a `hidden beast` number, since 3 + 8 + 4 + 26 + 126 + 9 + 490 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 12836329 + ... + 13132271.

Almost surely, 2^{3842612694900} is an apocalyptic number.

3842612694900 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 3842612694900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7148953479360).

3842612694900 is an abundant number, since it is smaller than the sum of its proper divisors (10455294263820).

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

3842612694900 is a wasteful number, since it uses less digits than its factorization.

3842612694900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296205 (or 296189 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 3842612694900 in words is "three trillion, eight hundred forty-two billion, six hundred twelve million, six hundred ninety-four thousand, nine hundred".