3786298266240 has 1280 divisors, whose sum is σ = 15675327360000. Its totient is φ = 853112881152.

The previous prime is 3786298266217. The next prime is 3786298266263. The reversal of 3786298266240 is 426628926873.

3786298266240 is a `hidden beast` number, since 3 + 7 + 86 + 298 + 26 + 6 + 240 = 666.

It is an interprime number because it is at equal distance from previous prime (3786298266217) and next prime (3786298266263).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 12922519534 + ... + 12922519826.

It is an arithmetic number, because the mean of its divisors is an integer number (12246349500).

Almost surely, 2^{3786298266240} is an apocalyptic number.

3786298266240 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 3786298266240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7837663680000).

3786298266240 is an abundant number, since it is smaller than the sum of its proper divisors (11889029093760).

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

3786298266240 is a wasteful number, since it uses less digits than its factorization.

3786298266240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 3786298266240 in words is "three trillion, seven hundred eighty-six billion, two hundred ninety-eight million, two hundred sixty-six thousand, two hundred forty".