3758017213440 has 880 divisors, whose sum is σ = 15513116332032. Its totient is φ = 852128169984.

The previous prime is 3758017213439. The next prime is 3758017213451. The reversal of 3758017213440 is 443127108573.

3758017213440 is a `hidden beast` number, since 3 + 7 + 580 + 1 + 7 + 21 + 3 + 4 + 40 = 666.

It is a super-2 number, since 2×3758017213440² (a number of 26 digits) contains 22 as substring.

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 79 ways as a sum of consecutive naturals, for example, 368680984 + ... + 368691176.

Almost surely, 2^{3758017213440} is an apocalyptic number.

3758017213440 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 3758017213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7756558166016).

3758017213440 is an abundant number, since it is smaller than the sum of its proper divisors (11755099118592).

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

3758017213440 is a wasteful number, since it uses less digits than its factorization.

3758017213440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10364 (or 10337 counting only the distinct ones).

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

The spelling of 3758017213440 in words is "three trillion, seven hundred fifty-eight billion, seventeen million, two hundred thirteen thousand, four hundred forty".