38120460 has 192 divisors, whose sum is σ = 136442880. Its totient is φ = 7741440.

The previous prime is 38120417. The next prime is 38120473. The reversal of 38120460 is 6402183.

It is a happy number.

It is a super-2 number, since 2×38120460² = 2906338941223200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 38120460.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 135520 + ... + 135800.

It is an arithmetic number, because the mean of its divisors is an integer number (710640).

Almost surely, 2^38120460 is an apocalyptic number.

38120460 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 38120460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68221440).

38120460 is an abundant number, since it is smaller than the sum of its proper divisors (98322420).

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

38120460 is a wasteful number, since it uses less digits than its factorization.

38120460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 38120460 is about 6174.1768682149. The cubic root of 38120460 is about 336.5524146947.

The spelling of 38120460 in words is "thirty-eight million, one hundred twenty thousand, four hundred sixty".