38378016 has 96 divisors (see below), whose sum is σ = 114649920. Its totient is φ = 12483072.

The previous prime is 38377987. The next prime is 38378029. The reversal of 38378016 is 61087383.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×38378016² = 2945744224192512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36636 + ... + 37668.

It is an arithmetic number, because the mean of its divisors is an integer number (1194270).

Almost surely, 2^38378016 is an apocalyptic number.

38378016 is a gapful number since it is divisible by the number (36) 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 38378016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57324960).

38378016 is an abundant number, since it is smaller than the sum of its proper divisors (76271904).

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

38378016 is a wasteful number, since it uses less digits than its factorization.

38378016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 38378016 is about 6194.9992736077. Note that the first 3 decimals coincide. The cubic root of 38378016 is about 337.3086718038.

The spelling of 38378016 in words is "thirty-eight million, three hundred seventy-eight thousand, sixteen".