38772300 has 144 divisors (see below), whose sum is σ = 131936000. Its totient is φ = 8605440.

The previous prime is 38772287. The next prime is 38772301. The reversal of 38772300 is 327783.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (38772301) 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, 77451 + ... + 77949.

Almost surely, 2^38772300 is an apocalyptic number.

38772300 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 38772300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65968000).

38772300 is an abundant number, since it is smaller than the sum of its proper divisors (93163700).

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

38772300 is a wasteful number, since it uses less digits than its factorization.

38772300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 38772300 is about 6226.7407204733. The cubic root of 38772300 is about 338.4598737733.

It can be divided in two parts, 3 and 8772300, that multiplied together give a square (26316900 = 5130²).

The spelling of 38772300 in words is "thirty-eight million, seven hundred seventy-two thousand, three hundred".