378073920 has 224 divisors, whose sum is σ = 1385791488. Its totient is φ = 85542912.

The previous prime is 378073909. The next prime is 378073921. The reversal of 378073920 is 29370873.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378073921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 853219 + ... + 853661.

Almost surely, 2^378073920 is an apocalyptic number.

378073920 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 378073920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692895744).

378073920 is an abundant number, since it is smaller than the sum of its proper divisors (1007717568).

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

378073920 is a wasteful number, since it uses less digits than its factorization.

378073920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The square root of 378073920 is about 19444.1230195656. The cubic root of 378073920 is about 723.0898078516.

The spelling of 378073920 in words is "three hundred seventy-eight million, seventy-three thousand, nine hundred twenty".