8378341920 has 360 divisors, whose sum is σ = 31986504396. Its totient is φ = 2053112832.

The previous prime is 8378341891. The next prime is 8378341921. The reversal of 8378341920 is 291438738.

It can be written as a sum of positive squares in 2 ways, for example, as 7798302864 + 580039056 = 88308^2 + 24084^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×8378341920² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) 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 (45).

It is not an unprimeable number, because it can be changed into a prime (8378341921) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 37570929 + ... + 37571151.

Almost surely, 2^8378341920 is an apocalyptic number.

8378341920 is a gapful number since it is divisible by the number (80) 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 8378341920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15993252198).

8378341920 is an abundant number, since it is smaller than the sum of its proper divisors (23608162476).

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

8378341920 is a wasteful number, since it uses less digits than its factorization.

8378341920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 8378341920 is about 91533.2831269588. The cubic root of 8378341920 is about 2031.0441310947.

The spelling of 8378341920 in words is "eight billion, three hundred seventy-eight million, three hundred forty-one thousand, nine hundred twenty".