38970720 has 240 divisors, whose sum is σ = 143434368. Its totient is φ = 9953280.

The previous prime is 38970713. The next prime is 38970727. The reversal of 38970720 is 2707983.

It is an interprime number because it is at equal distance from previous prime (38970713) and next prime (38970727).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38970727) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 401712 + ... + 401808.

Almost surely, 2^38970720 is an apocalyptic number.

38970720 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 38970720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71717184).

38970720 is an abundant number, since it is smaller than the sum of its proper divisors (104463648).

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

38970720 is a wasteful number, since it uses less digits than its factorization.

38970720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 38970720 is about 6242.6532820588. The cubic root of 38970720 is about 339.0362558138.

The spelling of 38970720 in words is "thirty-eight million, nine hundred seventy thousand, seven hundred twenty".