3701460672 has 224 divisors, whose sum is σ = 13393318400. Its totient is φ = 976167936.

The previous prime is 3701460619. The next prime is 3701460751. The reversal of 3701460672 is 2760641073.

3701460672 is a `hidden beast` number, since 37 + 0 + 14 + 606 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×3701460672² = 27401622212725383168, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145479 + ... + 169017.

It is an arithmetic number, because the mean of its divisors is an integer number (59791600).

Almost surely, 2^3701460672 is an apocalyptic number.

3701460672 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 3701460672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6696659200).

3701460672 is an abundant number, since it is smaller than the sum of its proper divisors (9691857728).

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

3701460672 is a wasteful number, since it uses less digits than its factorization.

3701460672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23580 (or 23564 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 3701460672 is about 60839.6307681104. The cubic root of 3701460672 is about 1546.8838778701.

The spelling of 3701460672 in words is "three billion, seven hundred one million, four hundred sixty thousand, six hundred seventy-two".