3732378000 has 320 divisors, whose sum is σ = 13107494400. Its totient is φ = 908236800.

The previous prime is 3732377951. The next prime is 3732378019. The reversal of 3732378000 is 8732373.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8501781 + ... + 8502219.

It is an arithmetic number, because the mean of its divisors is an integer number (40960920).

Almost surely, 2^3732378000 is an apocalyptic number.

3732378000 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 3732378000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6553747200).

3732378000 is an abundant number, since it is smaller than the sum of its proper divisors (9375116400).

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

3732378000 is a wasteful number, since it uses less digits than its factorization.

3732378000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 33.

The square root of 3732378000 is about 61093.1911099756. The cubic root of 3732378000 is about 1551.1788465284.

The spelling of 3732378000 in words is "three billion, seven hundred thirty-two million, three hundred seventy-eight thousand".