38079762 has 96 divisors (see below), whose sum is σ = 98988480. Its totient is φ = 9676800.

The previous prime is 38079761. The next prime is 38079763. The reversal of 38079762 is 26797083.

It is an interprime number because it is at equal distance from previous prime (38079761) and next prime (38079763).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (38079761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94762 + ... + 95162.

It is an arithmetic number, because the mean of its divisors is an integer number (1031130).

Almost surely, 2^38079762 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38079762, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49494240).

38079762 is an abundant number, since it is smaller than the sum of its proper divisors (60908718).

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

38079762 is a wasteful number, since it uses less digits than its factorization.

38079762 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The square root of 38079762 is about 6170.8801641257. The cubic root of 38079762 is about 336.4326025042.

The spelling of 38079762 in words is "thirty-eight million, seventy-nine thousand, seven hundred sixty-two".