3750135459840 has 3120 divisors, whose sum is σ = 17994706462656. Its totient is φ = 728739348480.

The previous prime is 3750135459787. The next prime is 3750135459871. The reversal of 3750135459840 is 489545310573.

It is a happy number.

3750135459840 is a `hidden beast` number, since 3 + 7 + 5 + 0 + 1 + 3 + 5 + 4 + 598 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 23886213042 + ... + 23886213198.

Almost surely, 2^{3750135459840} is an apocalyptic number.

3750135459840 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 3750135459840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8997353231328).

3750135459840 is an abundant number, since it is smaller than the sum of its proper divisors (14244571002816).

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

3750135459840 is a wasteful number, since it uses less digits than its factorization.

3750135459840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 3750135459840 in words is "three trillion, seven hundred fifty billion, one hundred thirty-five million, four hundred fifty-nine thousand, eight hundred forty".