3938397120 has 224 divisors, whose sum is σ = 15878860800. Its totient is φ = 900191232.

The previous prime is 3938397103. The next prime is 3938397137. The reversal of 3938397120 is 217938393.

It is an interprime number because it is at equal distance from previous prime (3938397103) and next prime (3938397137).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27921 + ... + 93039.

Almost surely, 2^3938397120 is an apocalyptic number.

3938397120 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 3938397120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7939430400).

3938397120 is an abundant number, since it is smaller than the sum of its proper divisors (11940463680).

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

3938397120 is a wasteful number, since it uses less digits than its factorization.

3938397120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65152 (or 65136 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 3938397120 is about 62756.6500061946. The cubic root of 3938397120 is about 1579.2098169214.

It can be divided in two parts, 39383 and 97120, that added together give a triangular number (136503 = T₅₂₂).

The spelling of 3938397120 in words is "three billion, nine hundred thirty-eight million, three hundred ninety-seven thousand, one hundred twenty".