3746035072 has 96 divisors (see below), whose sum is σ = 8139869280. Its totient is φ = 1716369408.

The previous prime is 3746035063. The next prime is 3746035081. The reversal of 3746035072 is 2705306473.

It is an interprime number because it is at equal distance from previous prime (3746035063) and next prime (3746035081).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3395673 + ... + 3396775.

It is an arithmetic number, because the mean of its divisors is an integer number (84790305).

Almost surely, 2^3746035072 is an apocalyptic number.

3746035072 is a gapful number since it is divisible by the number (32) 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 3746035072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4069934640).

3746035072 is an abundant number, since it is smaller than the sum of its proper divisors (4393834208).

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

3746035072 is a wasteful number, since it uses less digits than its factorization.

3746035072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1300 (or 1275 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 37.

The square root of 3746035072 is about 61204.8615062562. The cubic root of 3746035072 is about 1553.0685064108.

The spelling of 3746035072 in words is "three billion, seven hundred forty-six million, thirty-five thousand, seventy-two".