3701135880 has 384 divisors, whose sum is σ = 13561067520. Its totient is φ = 869253120.

The previous prime is 3701135839. The next prime is 3701135881. The reversal of 3701135880 is 885311073.

3701135880 is a `hidden beast` number, since 3 + 70 + 1 + 1 + 3 + 588 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3701135881) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14072629 + ... + 14072891.

It is an arithmetic number, because the mean of its divisors is an integer number (35315280).

Almost surely, 2^3701135880 is an apocalyptic number.

3701135880 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 3701135880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6780533760).

3701135880 is an abundant number, since it is smaller than the sum of its proper divisors (9859931640).

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

3701135880 is a wasteful number, since it uses less digits than its factorization.

3701135880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 3701135880 is about 60836.9614625846. The cubic root of 3701135880 is about 1546.8386317498.

The spelling of 3701135880 in words is "three billion, seven hundred one million, one hundred thirty-five thousand, eight hundred eighty".