38378340 has 384 divisors, whose sum is σ = 162570240. Its totient is φ = 7257600.

The previous prime is 38378323. The next prime is 38378357. The reversal of 38378340 is 4387383.

It is an interprime number because it is at equal distance from previous prime (38378323) and next prime (38378357).

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

It is a junction number, because it is equal to n+sod(n) for n = 38378295 and 38378304.

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, 540505 + ... + 540575.

It is an arithmetic number, because the mean of its divisors is an integer number (423360).

Almost surely, 2^38378340 is an apocalyptic number.

38378340 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 38378340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81285120).

38378340 is an abundant number, since it is smaller than the sum of its proper divisors (124191900).

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

38378340 is a wasteful number, since it uses less digits than its factorization.

38378340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 38378340 is about 6195.0254236766. The cubic root of 38378340 is about 337.3096210252.

The spelling of 38378340 in words is "thirty-eight million, three hundred seventy-eight thousand, three hundred forty".