3762378048 has 336 divisors, whose sum is σ = 11994587136. Its totient is φ = 1031546880.

The previous prime is 3762378029. The next prime is 3762378107. The reversal of 3762378048 is 8408732673.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 3762377988 and 3762378006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29624961 + ... + 29625087.

It is an arithmetic number, because the mean of its divisors is an integer number (35698176).

Almost surely, 2^3762378048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3762378048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5997293568).

3762378048 is an abundant number, since it is smaller than the sum of its proper divisors (8232209088).

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

3762378048 is a wasteful number, since it uses less digits than its factorization.

3762378048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 48.

The square root of 3762378048 is about 61338.2266453800. The cubic root of 3762378048 is about 1555.3237744212.

The spelling of 3762378048 in words is "three billion, seven hundred sixty-two million, three hundred seventy-eight thousand, forty-eight".