38291553420 has 192 divisors, whose sum is σ = 111585600000. Its totient is φ = 9804847104.

The previous prime is 38291553403. The next prime is 38291553437. The reversal of 38291553420 is 2435519283.

38291553420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (38291553403) and next prime (38291553437).

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, 76736331 + ... + 76736829.

It is an arithmetic number, because the mean of its divisors is an integer number (581175000).

Almost surely, 2^38291553420 is an apocalyptic number.

38291553420 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 38291553420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55792800000).

38291553420 is an abundant number, since it is smaller than the sum of its proper divisors (73294046580).

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

38291553420 is a wasteful number, since it uses less digits than its factorization.

38291553420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1032 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 38291553420 in words is "thirty-eight billion, two hundred ninety-one million, five hundred fifty-three thousand, four hundred twenty".