3739146840 has 768 divisors, whose sum is σ = 15444172800. Its totient is φ = 798336000.

The previous prime is 3739146833. The next prime is 3739146841. The reversal of 3739146840 is 486419373.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3739146841) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 52664005 + ... + 52664075.

It is an arithmetic number, because the mean of its divisors is an integer number (20109600).

Almost surely, 2^3739146840 is an apocalyptic number.

3739146840 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 3739146840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7722086400).

3739146840 is an abundant number, since it is smaller than the sum of its proper divisors (11705025960).

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

3739146840 is a wasteful number, since it uses less digits than its factorization.

3739146840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 3739146840 is about 61148.5636789614. The cubic root of 3739146840 is about 1552.1159917472.

The spelling of 3739146840 in words is "three billion, seven hundred thirty-nine million, one hundred forty-six thousand, eight hundred forty".