378102010000 has 675 divisors, whose sum is σ = 1115491004397. Its totient is φ = 123963840000.

The previous prime is 378102009983. The next prime is 378102010007. The reversal of 378102010000 is 10201873.

The square root of 378102010000 is 614900.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 373462765456 + 4639244544 = 611116^2 + 68112^2 .

It is a super-2 number, since 2×378102010000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (378102010007) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 8793069979 + ... + 8793070021.

Almost surely, 2^378102010000 is an apocalyptic number.

378102010000 is the 614900-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 378102010000

378102010000 is an abundant number, since it is smaller than the sum of its proper divisors (737388994397).

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

378102010000 is a wasteful number, since it uses less digits than its factorization.

378102010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

Adding to 378102010000 its reverse (10201873), we get a palindrome (378112211873).

The spelling of 378102010000 in words is "three hundred seventy-eight billion, one hundred two million, ten thousand".