3709381632 has 176 divisors, whose sum is σ = 11136728064. Its totient is φ = 1087488000.

The previous prime is 3709381597. The next prime is 3709381639. The reversal of 3709381632 is 2361839073.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (176).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (3709381639) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1045782 + ... + 1049322.

It is an arithmetic number, because the mean of its divisors is an integer number (63276864).

Almost surely, 2^3709381632 is an apocalyptic number.

3709381632 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 3709381632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5568364032).

3709381632 is an abundant number, since it is smaller than the sum of its proper divisors (7427346432).

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

3709381632 is a wasteful number, since it uses less digits than its factorization.

3709381632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3606 (or 3588 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The square root of 3709381632 is about 60904.6930211458. The cubic root of 3709381632 is about 1547.9865124452.

The spelling of 3709381632 in words is "three billion, seven hundred nine million, three hundred eighty-one thousand, six hundred thirty-two".