3729378945600 has 2835 divisors, whose sum is σ = 17900671698585. Its totient is φ = 734149785600.

The previous prime is 3729378945587. The next prime is 3729378945629. The reversal of 3729378945600 is 65498739273.

The square root of 3729378945600 is 1931160.

It is a perfect power (a square), and thus also a powerful number.

3729378945600 is a `hidden beast` number, since 3 + 72 + 9 + 37 + 89 + 456 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1342576420416 + 2386802525184 = 1158696^2 + 1544928^2 .

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 404 ways as a sum of consecutive naturals, for example, 196283102391 + ... + 196283102409.

Almost surely, 2^{3729378945600} is an apocalyptic number.

3729378945600 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3729378945600 is the 1931160-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3729378945600

3729378945600 is an abundant number, since it is smaller than the sum of its proper divisors (14171292752985).

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

3729378945600 is a wasteful number, since it uses less digits than its factorization.

3729378945600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 63.

The spelling of 3729378945600 in words is "three trillion, seven hundred twenty-nine billion, three hundred seventy-eight million, nine hundred forty-five thousand, six hundred".