3701880 has 192 divisors, whose sum is σ = 14938560. Its totient is φ = 774144.

The previous prime is 3701839. The next prime is 3701881. The reversal of 3701880 is 881073.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3701881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32704 + ... + 32816.

It is an arithmetic number, because the mean of its divisors is an integer number (77805).

Almost surely, 2^3701880 is an apocalyptic number.

3701880 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 3701880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7469280).

3701880 is an abundant number, since it is smaller than the sum of its proper divisors (11236680).

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

3701880 is a wasteful number, since it uses less digits than its factorization.

3701880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 3701880 is about 1924.0270268372. The cubic root of 3701880 is about 154.6942289696.

The spelling of 3701880 in words is "three million, seven hundred one thousand, eight hundred eighty".