3745617408 has 240 divisors, whose sum is σ = 12023147136. Its totient is φ = 1114767360.

The previous prime is 3745617373. The next prime is 3745617427. The reversal of 3745617408 is 8047165473.

It is a super-2 number, since 2×3745617408² = 28059299534225276928, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1856016 + ... + 1858032.

Almost surely, 2^3745617408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3745617408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6011573568).

3745617408 is an abundant number, since it is smaller than the sum of its proper divisors (8277529728).

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

3745617408 is a wasteful number, since it uses less digits than its factorization.

3745617408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2085 (or 2066 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 3745617408 is about 61201.4493946018. The cubic root of 3745617408 is about 1553.0107844994.

The spelling of 3745617408 in words is "three billion, seven hundred forty-five million, six hundred seventeen thousand, four hundred eight".