38433084307620 has 192 divisors, whose sum is σ = 109801939226112. Its totient is φ = 10041647616000.

The previous prime is 38433084307603. The next prime is 38433084307633. The reversal of 38433084307620 is 2670348033483.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6177956110 + ... + 6177962330.

It is an arithmetic number, because the mean of its divisors is an integer number (571885100136).

Almost surely, 2^{38433084307620} is an apocalyptic number.

38433084307620 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 38433084307620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54900969613056).

38433084307620 is an abundant number, since it is smaller than the sum of its proper divisors (71368854918492).

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

38433084307620 is a wasteful number, since it uses less digits than its factorization.

38433084307620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12582 (or 12580 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 51.

The spelling of 38433084307620 in words is "thirty-eight trillion, four hundred thirty-three billion, eighty-four million, three hundred seven thousand, six hundred twenty".