3746713440 has 96 divisors (see below), whose sum is σ = 11868353280. Its totient is φ = 993519104.

The previous prime is 3746713433. The next prime is 3746713463. The reversal of 3746713440 is 443176473.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×3746713440³ (a number of 30 digits) contains 333 as substring.

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 64117 + ... + 107723.

It is an arithmetic number, because the mean of its divisors is an integer number (123628680).

Almost surely, 2^3746713440 is an apocalyptic number.

3746713440 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 3746713440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5934176640).

3746713440 is an abundant number, since it is smaller than the sum of its proper divisors (8121639840).

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

3746713440 is a wasteful number, since it uses less digits than its factorization.

3746713440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43804 (or 43796 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 39.

The square root of 3746713440 is about 61210.4030373923. The cubic root of 3746713440 is about 1553.1622489383.

The spelling of 3746713440 in words is "three billion, seven hundred forty-six million, seven hundred thirteen thousand, four hundred forty".