3735396000 has 768 divisors, whose sum is σ = 15988976640. Its totient is φ = 839808000.

The previous prime is 3735395999. The next prime is 3735396031. The reversal of 3735396000 is 6935373.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 127 ways as a sum of consecutive naturals, for example, 61235970 + ... + 61236030.

It is an arithmetic number, because the mean of its divisors is an integer number (20818980).

Almost surely, 2^3735396000 is an apocalyptic number.

3735396000 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 3735396000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7994488320).

3735396000 is an abundant number, since it is smaller than the sum of its proper divisors (12253580640).

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

3735396000 is an frugal number, since it uses more digits than its factorization.

3735396000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 51030, while the sum is 36.

The square root of 3735396000 is about 61117.8860890983. The cubic root of 3735396000 is about 1551.5968281760.

The spelling of 3735396000 in words is "three billion, seven hundred thirty-five million, three hundred ninety-six thousand".