378151200 has 576 divisors, whose sum is σ = 1627395840. Its totient is φ = 82944000.

The previous prime is 378151187. The next prime is 378151219. The reversal of 378151200 is 2151873.

It is a super-2 number, since 2×378151200² = 285996660122880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6199170 + ... + 6199230.

It is an arithmetic number, because the mean of its divisors is an integer number (2825340).

Almost surely, 2^378151200 is an apocalyptic number.

378151200 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 378151200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813697920).

378151200 is an abundant number, since it is smaller than the sum of its proper divisors (1249244640).

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

378151200 is a wasteful number, since it uses less digits than its factorization.

378151200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 378151200 is about 19446.1101508759. The cubic root of 378151200 is about 723.1390720919.

It can be divided in two parts, 378 and 151200, that multiplied together give a square (57153600 = 7560²).

The spelling of 378151200 in words is "three hundred seventy-eight million, one hundred fifty-one thousand, two hundred".