3723540387840 has 3456 divisors, whose sum is σ = 17675893872000. Its totient is φ = 721378344960.

The previous prime is 3723540387817. The next prime is 3723540387869. The reversal of 3723540387840 is 487830453273.

3723540387840 is a `hidden beast` number, since 3 + 7 + 23 + 540 + 3 + 8 + 78 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 90818058220 + ... + 90818058260.

It is an arithmetic number, because the mean of its divisors is an integer number (5114552625).

Almost surely, 2^{3723540387840} is an apocalyptic number.

3723540387840 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 3723540387840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8837946936000).

3723540387840 is an abundant number, since it is smaller than the sum of its proper divisors (13952353484160).

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

3723540387840 is a wasteful number, since it uses less digits than its factorization.

3723540387840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 3723540387840 in words is "three trillion, seven hundred twenty-three billion, five hundred forty million, three hundred eighty-seven thousand, eight hundred forty".