33738478368000 has 1152 divisors, whose sum is σ = 131757339377664. Its totient is φ = 7491649536000.

The previous prime is 33738478367987. The next prime is 33738478368017. The reversal of 33738478368000 is 86387483733.

33738478368000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33738478368000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5519132944 + ... + 5519139056.

It is an arithmetic number, because the mean of its divisors is an integer number (114372690432).

Almost surely, 2^{33738478368000} is an apocalyptic number.

33738478368000 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 33738478368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65878669688832).

33738478368000 is an abundant number, since it is smaller than the sum of its proper divisors (98018861009664).

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

33738478368000 is a wasteful number, since it uses less digits than its factorization.

33738478368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6388 (or 6364 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 60.

The spelling of 33738478368000 in words is "thirty-three trillion, seven hundred thirty-eight billion, four hundred seventy-eight million, three hundred sixty-eight thousand".