38074095360 has 1152 divisors, whose sum is σ = 164121753600. Its totient is φ = 8277147648.

The previous prime is 38074095349. The next prime is 38074095391. The reversal of 38074095360 is 6359047083.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 568270047 + ... + 568270113.

It is an arithmetic number, because the mean of its divisors is an integer number (142466800).

Almost surely, 2^38074095360 is an apocalyptic number.

38074095360 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 38074095360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82060876800).

38074095360 is an abundant number, since it is smaller than the sum of its proper divisors (126047658240).

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

38074095360 is an frugal number, since it uses more digits than its factorization.

38074095360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

It can be divided in two parts, 380740 and 95360, that added together give a square (476100 = 690²).

The spelling of 38074095360 in words is "thirty-eight billion, seventy-four million, ninety-five thousand, three hundred sixty".