3735948359880 has 576 divisors, whose sum is σ = 13603889295360. Its totient is φ = 888269184000.

The previous prime is 3735948359833. The next prime is 3735948359903. The reversal of 3735948359880 is 889538495373.

It is a happy number.

3735948359880 is a `hidden beast` number, since 3 + 7 + 3 + 59 + 483 + 5 + 98 + 8 + 0 = 666.

It is a super-2 number, since 2×3735948359880² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 3735948359799 and 3735948359808.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1017690445 + ... + 1017694115.

It is an arithmetic number, because the mean of its divisors is an integer number (23617863360).

Almost surely, 2^{3735948359880} is an apocalyptic number.

3735948359880 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 3735948359880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6801944647680).

3735948359880 is an abundant number, since it is smaller than the sum of its proper divisors (9867940935480).

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

3735948359880 is a wasteful number, since it uses less digits than its factorization.

3735948359880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4154 (or 4136 counting only the distinct ones).

The product of its (nonzero) digits is 783820800, while the sum is 72.

The spelling of 3735948359880 in words is "three trillion, seven hundred thirty-five billion, nine hundred forty-eight million, three hundred fifty-nine thousand, eight hundred eighty".