3746494080 has 512 divisors, whose sum is σ = 15510528000. Its totient is φ = 836849664.

The previous prime is 3746494061. The next prime is 3746494097. The reversal of 3746494080 is 804946473.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5684791 + ... + 5685449.

It is an arithmetic number, because the mean of its divisors is an integer number (30294000).

Almost surely, 2^3746494080 is an apocalyptic number.

3746494080 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 3746494080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7755264000).

3746494080 is an abundant number, since it is smaller than the sum of its proper divisors (11764033920).

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

3746494080 is a wasteful number, since it uses less digits than its factorization.

3746494080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 3746494080 is about 61208.6111588884. The cubic root of 3746494080 is about 1553.1319371886.

The spelling of 3746494080 in words is "three billion, seven hundred forty-six million, four hundred ninety-four thousand, eighty".