38948000 has 192 divisors, whose sum is σ = 118879488. Its totient is φ = 12211200.

The previous prime is 38947963. The next prime is 38948011. The reversal of 38948000 is 84983.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 363947 + ... + 364053.

It is an arithmetic number, because the mean of its divisors is an integer number (619164).

Almost surely, 2^38948000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38948000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59439744).

38948000 is an abundant number, since it is smaller than the sum of its proper divisors (79931488).

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

38948000 is a wasteful number, since it uses less digits than its factorization.

38948000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 38948000 is about 6240.8332776962. The cubic root of 38948000 is about 338.9703567563.

The spelling of 38948000 in words is "thirty-eight million, nine hundred forty-eight thousand".