378357100 has 72 divisors (see below), whose sum is σ = 948408048. Its totient is φ = 129484800.

The previous prime is 378357073. The next prime is 378357101. The reversal of 378357100 is 1753873.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (378357101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8584 + ... + 28816.

It is an arithmetic number, because the mean of its divisors is an integer number (13172334).

Almost surely, 2^378357100 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 378357100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474204024).

378357100 is an abundant number, since it is smaller than the sum of its proper divisors (570050948).

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

378357100 is a wasteful number, since it uses less digits than its factorization.

378357100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20275 (or 20268 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 34.

The square root of 378357100 is about 19451.4035483304. The cubic root of 378357100 is about 723.2702958980.

The spelling of 378357100 in words is "three hundred seventy-eight million, three hundred fifty-seven thousand, one hundred".