3749626080 has 672 divisors, whose sum is σ = 14754555648. Its totient is φ = 895795200.

The previous prime is 3749626073. The next prime is 3749626121. The reversal of 3749626080 is 806269473.

3749626080 is a `hidden beast` number, since 37 + 4 + 9 + 6 + 2 + 608 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 61469250 + ... + 61469310.

It is an arithmetic number, because the mean of its divisors is an integer number (21956184).

Almost surely, 2^3749626080 is an apocalyptic number.

3749626080 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 3749626080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7377277824).

3749626080 is an abundant number, since it is smaller than the sum of its proper divisors (11004929568).

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

3749626080 is a wasteful number, since it uses less digits than its factorization.

3749626080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 3749626080 is about 61234.1904494540. The cubic root of 3749626080 is about 1553.5646131993.

The spelling of 3749626080 in words is "three billion, seven hundred forty-nine million, six hundred twenty-six thousand, eighty".