3780965903400 has 960 divisors, whose sum is σ = 15558091718400. Its totient is φ = 832661544960.

The previous prime is 3780965903369. The next prime is 3780965903413. The reversal of 3780965903400 is 43095690873.

3780965903400 is a `hidden beast` number, since 3 + 7 + 8 + 0 + 9 + 6 + 590 + 3 + 40 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2127723312 + ... + 2127725088.

It is an arithmetic number, because the mean of its divisors is an integer number (16206345540).

Almost surely, 2^{3780965903400} is an apocalyptic number.

3780965903400 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 3780965903400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7779045859200).

3780965903400 is an abundant number, since it is smaller than the sum of its proper divisors (11777125815000).

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

3780965903400 is a wasteful number, since it uses less digits than its factorization.

3780965903400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2488 (or 2470 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 3780965903400 in words is "three trillion, seven hundred eighty billion, nine hundred sixty-five million, nine hundred three thousand, four hundred".