3741047130240 has 768 divisors, whose sum is σ = 15372702858240. Its totient is φ = 851627520000.

The previous prime is 3741047130187. The next prime is 3741047130251. The reversal of 3741047130240 is 420317401473.

3741047130240 is a `hidden beast` number, since 37 + 410 + 47 + 130 + 2 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3741047130195 and 3741047130204.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 273241795 + ... + 273255485.

It is an arithmetic number, because the mean of its divisors is an integer number (20016540180).

Almost surely, 2^{3741047130240} is an apocalyptic number.

3741047130240 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 3741047130240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7686351429120).

3741047130240 is an abundant number, since it is smaller than the sum of its proper divisors (11631655728000).

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

3741047130240 is a wasteful number, since it uses less digits than its factorization.

3741047130240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13983 (or 13959 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 3741047130240 in words is "three trillion, seven hundred forty-one billion, forty-seven million, one hundred thirty thousand, two hundred forty".