38430700 has 216 divisors, whose sum is σ = 113992704. Its totient is φ = 11088000.

The previous prime is 38430697. The next prime is 38430719. The reversal of 38430700 is 703483.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1239685 + ... + 1239715.

It is an arithmetic number, because the mean of its divisors is an integer number (527744).

Almost surely, 2^38430700 is an apocalyptic number.

38430700 is the 3100-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38430700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56996352).

38430700 is an abundant number, since it is smaller than the sum of its proper divisors (75562004).

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

38430700 is a wasteful number, since it uses less digits than its factorization.

38430700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 38430700 is about 6199.2499546316. The cubic root of 38430700 is about 337.4629497508.

The spelling of 38430700 in words is "thirty-eight million, four hundred thirty thousand, seven hundred".