3748424486400 has 1440 divisors, whose sum is σ = 14970391083648. Its totient is φ = 888112742400.

The previous prime is 3748424486363. The next prime is 3748424486407. The reversal of 3748424486400 is 46844248473.

3748424486400 is a `hidden beast` number, since 3 + 7 + 484 + 2 + 44 + 86 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×3748424486400² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3748424486407) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16512883087 + ... + 16512883313.

Almost surely, 2^{3748424486400} is an apocalyptic number.

3748424486400 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 3748424486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7485195541824).

3748424486400 is an abundant number, since it is smaller than the sum of its proper divisors (11221966597248).

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

3748424486400 is a wasteful number, since it uses less digits than its factorization.

3748424486400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 16515072, while the sum is 54.

The spelling of 3748424486400 in words is "three trillion, seven hundred forty-eight billion, four hundred twenty-four million, four hundred eighty-six thousand, four hundred".