378677040 has 160 divisors (see below), whose sum is σ = 1420623360. Its totient is φ = 81457152.

The previous prime is 378677029. The next prime is 378677053. The reversal of 378677040 is 40776873.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 378676983 and 378677001.

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, 21931 + ... + 35189.

It is an arithmetic number, because the mean of its divisors is an integer number (8878896).

Almost surely, 2^378677040 is an apocalyptic number.

378677040 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 378677040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710311680).

378677040 is an abundant number, since it is smaller than the sum of its proper divisors (1041946320).

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

378677040 is a wasteful number, since it uses less digits than its factorization.

378677040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13299 (or 13293 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 42.

The square root of 378677040 is about 19459.6258956846. The cubic root of 378677040 is about 723.4741050367.

The spelling of 378677040 in words is "three hundred seventy-eight million, six hundred seventy-seven thousand, forty".