3778146955440 has 1920 divisors, whose sum is σ = 16671492956160. Its totient is φ = 774414950400.

The previous prime is 3778146955439. The next prime is 3778146955447. The reversal of 3778146955440 is 445596418773.

3778146955440 is a `hidden beast` number, since 3 + 7 + 7 + 8 + 14 + 69 + 554 + 4 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (3778146955447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3456675534 + ... + 3456676626.

It is an arithmetic number, because the mean of its divisors is an integer number (8683069248).

Almost surely, 2^{3778146955440} is an apocalyptic number.

3778146955440 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 3778146955440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8335746478080).

3778146955440 is an abundant number, since it is smaller than the sum of its proper divisors (12893346000720).

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

3778146955440 is a wasteful number, since it uses less digits than its factorization.

3778146955440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1208 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 63.

The spelling of 3778146955440 in words is "three trillion, seven hundred seventy-eight billion, one hundred forty-six million, nine hundred fifty-five thousand, four hundred forty".